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Finding the Fourth Proportional to 414,363.92, 621,545.88 and 274,089.74

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Solution

The fourth proportional to 414,363.92, 621,545.88 and 274,089.74 is: 411,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,363.92 : 621,545.88 = 274,089.74 : x
  2. Step 2: Convert to fraction form
    414,363.92/621,545.88 = 274,089.74/x
  3. Step 3: Cross multiply
    414,363.92x = 621,545.88 × 274,089.74
  4. Step 4: Simplify right side
    414,363.92x = 170,359,346,567.38
  5. Step 5: Solve for x
    x = 170,359,346,567.38/414,363.92
  6. Step 6: Final answer
    x = 411,134.61

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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.