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Finding the Fourth Proportional to 414,405.30, 571,875.18 and 230,640.80

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Solution

The fourth proportional to 414,405.30, 571,875.18 and 230,640.80 is: 318,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,405.30 : 571,875.18 = 230,640.80 : x
  2. Step 2: Convert to fraction form
    414,405.30/571,875.18 = 230,640.80/x
  3. Step 3: Cross multiply
    414,405.30x = 571,875.18 × 230,640.80
  4. Step 4: Simplify right side
    414,405.30x = 131,897,750,445.03
  5. Step 5: Solve for x
    x = 131,897,750,445.03/414,405.30
  6. Step 6: Final answer
    x = 318,282.01

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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.