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Finding the Fourth Proportional to 515,946.63, 711,982.40 and 286,518.45

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Solution

The fourth proportional to 515,946.63, 711,982.40 and 286,518.45 is: 395,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,946.63 : 711,982.40 = 286,518.45 : x
  2. Step 2: Convert to fraction form
    515,946.63/711,982.40 = 286,518.45/x
  3. Step 3: Cross multiply
    515,946.63x = 711,982.40 × 286,518.45
  4. Step 4: Simplify right side
    515,946.63x = 203,996,094,912.62
  5. Step 5: Solve for x
    x = 203,996,094,912.62/515,946.63
  6. Step 6: Final answer
    x = 395,382.16

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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.