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Finding the Fourth Proportional to 442,031.14, 663,041.85 and 264,587.68

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Solution

The fourth proportional to 442,031.14, 663,041.85 and 264,587.68 is: 396,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,031.14 : 663,041.85 = 264,587.68 : x
  2. Step 2: Convert to fraction form
    442,031.14/663,041.85 = 264,587.68/x
  3. Step 3: Cross multiply
    442,031.14x = 663,041.85 × 264,587.68
  4. Step 4: Simplify right side
    442,031.14x = 175,432,704,834.41
  5. Step 5: Solve for x
    x = 175,432,704,834.41/442,031.14
  6. Step 6: Final answer
    x = 396,878.61

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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.