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Finding the Fourth Proportional to 515,299.89, 711,114.09 and 314,095.89

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Solution

The fourth proportional to 515,299.89, 711,114.09 and 314,095.89 is: 433,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,299.89 : 711,114.09 = 314,095.89 : x
  2. Step 2: Convert to fraction form
    515,299.89/711,114.09 = 314,095.89/x
  3. Step 3: Cross multiply
    515,299.89x = 711,114.09 × 314,095.89
  4. Step 4: Simplify right side
    515,299.89x = 223,358,012,990.09
  5. Step 5: Solve for x
    x = 223,358,012,990.09/515,299.89
  6. Step 6: Final answer
    x = 433,452.48

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.