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Finding the Fourth Proportional to 517,143.52, 713,431.92 and 315,820

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Solution

The fourth proportional to 517,143.52, 713,431.92 and 315,820 is: 435,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,143.52 : 713,431.92 = 315,820 : x
  2. Step 2: Convert to fraction form
    517,143.52/713,431.92 = 315,820/x
  3. Step 3: Cross multiply
    517,143.52x = 713,431.92 × 315,820
  4. Step 4: Simplify right side
    517,143.52x = 225,316,068,974.40
  5. Step 5: Solve for x
    x = 225,316,068,974.40/517,143.52
  6. Step 6: Final answer
    x = 435,693.50

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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.