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Finding the Fourth Proportional to 514,071.68, 709,826.88 and 342,154.88

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Solution

The fourth proportional to 514,071.68, 709,826.88 and 342,154.88 is: 472,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,071.68 : 709,826.88 = 342,154.88 : x
  2. Step 2: Convert to fraction form
    514,071.68/709,826.88 = 342,154.88/x
  3. Step 3: Cross multiply
    514,071.68x = 709,826.88 × 342,154.88
  4. Step 4: Simplify right side
    514,071.68x = 242,870,730,947.17
  5. Step 5: Solve for x
    x = 242,870,730,947.17/514,071.68
  6. Step 6: Final answer
    x = 472,445.26

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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.