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Finding the Fourth Proportional to 686,545.38, 947,488.50 and 380,717.52

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Solution

The fourth proportional to 686,545.38, 947,488.50 and 380,717.52 is: 525,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,545.38 : 947,488.50 = 380,717.52 : x
  2. Step 2: Convert to fraction form
    686,545.38/947,488.50 = 380,717.52/x
  3. Step 3: Cross multiply
    686,545.38x = 947,488.50 × 380,717.52
  4. Step 4: Simplify right side
    686,545.38x = 360,725,471,948.52
  5. Step 5: Solve for x
    x = 360,725,471,948.52/686,545.38
  6. Step 6: Final answer
    x = 525,421.17

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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.