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Finding the Fourth Proportional to 514,743.06, 710,385.66 and 331,145.58

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Solution

The fourth proportional to 514,743.06, 710,385.66 and 331,145.58 is: 457,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,743.06 : 710,385.66 = 331,145.58 : x
  2. Step 2: Convert to fraction form
    514,743.06/710,385.66 = 331,145.58/x
  3. Step 3: Cross multiply
    514,743.06x = 710,385.66 × 331,145.58
  4. Step 4: Simplify right side
    514,743.06x = 235,241,071,404.38
  5. Step 5: Solve for x
    x = 235,241,071,404.38/514,743.06
  6. Step 6: Final answer
    x = 457,006.79

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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.