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Finding the Fourth Proportional to 343,007.55, 514,511.33 and 106,374.15

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Solution

The fourth proportional to 343,007.55, 514,511.33 and 106,374.15 is: 159,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,007.55 : 514,511.33 = 106,374.15 : x
  2. Step 2: Convert to fraction form
    343,007.55/514,511.33 = 106,374.15/x
  3. Step 3: Cross multiply
    343,007.55x = 514,511.33 × 106,374.15
  4. Step 4: Simplify right side
    343,007.55x = 54,730,704,862.25
  5. Step 5: Solve for x
    x = 54,730,704,862.25/343,007.55
  6. Step 6: Final answer
    x = 159,561.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.