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Finding the Fourth Proportional to 514,769.13, 710,381.40 and 313,565.13

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Solution

The fourth proportional to 514,769.13, 710,381.40 and 313,565.13 is: 432,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,769.13 : 710,381.40 = 313,565.13 : x
  2. Step 2: Convert to fraction form
    514,769.13/710,381.40 = 313,565.13/x
  3. Step 3: Cross multiply
    514,769.13x = 710,381.40 × 313,565.13
  4. Step 4: Simplify right side
    514,769.13x = 222,750,836,040.58
  5. Step 5: Solve for x
    x = 222,750,836,040.58/514,769.13
  6. Step 6: Final answer
    x = 432,719.88

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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.