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Finding the Fourth Proportional to 514,816.68, 710,447.24 and 313,612.68

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Solution

The fourth proportional to 514,816.68, 710,447.24 and 313,612.68 is: 432,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,816.68 : 710,447.24 = 313,612.68 : x
  2. Step 2: Convert to fraction form
    514,816.68/710,447.24 = 313,612.68/x
  3. Step 3: Cross multiply
    514,816.68x = 710,447.24 × 313,612.68
  4. Step 4: Simplify right side
    514,816.68x = 222,805,262,935.00
  5. Step 5: Solve for x
    x = 222,805,262,935.00/514,816.68
  6. Step 6: Final answer
    x = 432,785.63

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