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Finding the Fourth Proportional to 502,569, 693,545.22 and 276,214.50

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Solution

The fourth proportional to 502,569, 693,545.22 and 276,214.50 is: 381,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,569 : 693,545.22 = 276,214.50 : x
  2. Step 2: Convert to fraction form
    502,569/693,545.22 = 276,214.50/x
  3. Step 3: Cross multiply
    502,569x = 693,545.22 × 276,214.50
  4. Step 4: Simplify right side
    502,569x = 191,567,246,169.69
  5. Step 5: Solve for x
    x = 191,567,246,169.69/502,569
  6. Step 6: Final answer
    x = 381,176.01

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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.