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Finding the Fourth Proportional to 414,520.35, 572,106.69 and 261,641.76

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Solution

The fourth proportional to 414,520.35, 572,106.69 and 261,641.76 is: 361,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,520.35 : 572,106.69 = 261,641.76 : x
  2. Step 2: Convert to fraction form
    414,520.35/572,106.69 = 261,641.76/x
  3. Step 3: Cross multiply
    414,520.35x = 572,106.69 × 261,641.76
  4. Step 4: Simplify right side
    414,520.35x = 149,687,001,279.37
  5. Step 5: Solve for x
    x = 149,687,001,279.37/414,520.35
  6. Step 6: Final answer
    x = 361,108.93

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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.