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Finding the Fourth Proportional to 489,218.60, 733,827.90 and 471,503.90

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Solution

The fourth proportional to 489,218.60, 733,827.90 and 471,503.90 is: 707,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,218.60 : 733,827.90 = 471,503.90 : x
  2. Step 2: Convert to fraction form
    489,218.60/733,827.90 = 471,503.90/x
  3. Step 3: Cross multiply
    489,218.60x = 733,827.90 × 471,503.90
  4. Step 4: Simplify right side
    489,218.60x = 346,002,716,778.81
  5. Step 5: Solve for x
    x = 346,002,716,778.81/489,218.60
  6. Step 6: Final answer
    x = 707,255.85

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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.