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Finding the Fourth Proportional to 489,177.60, 733,766.40 and 471,462.90

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Solution

The fourth proportional to 489,177.60, 733,766.40 and 471,462.90 is: 707,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,177.60 : 733,766.40 = 471,462.90 : x
  2. Step 2: Convert to fraction form
    489,177.60/733,766.40 = 471,462.90/x
  3. Step 3: Cross multiply
    489,177.60x = 733,766.40 × 471,462.90
  4. Step 4: Simplify right side
    489,177.60x = 345,943,634,866.56
  5. Step 5: Solve for x
    x = 345,943,634,866.56/489,177.60
  6. Step 6: Final answer
    x = 707,194.35

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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.