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Finding the Fourth Proportional to 489,222.60, 733,833.90 and 471,507.90

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Solution

The fourth proportional to 489,222.60, 733,833.90 and 471,507.90 is: 707,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,222.60 : 733,833.90 = 471,507.90 : x
  2. Step 2: Convert to fraction form
    489,222.60/733,833.90 = 471,507.90/x
  3. Step 3: Cross multiply
    489,222.60x = 733,833.90 × 471,507.90
  4. Step 4: Simplify right side
    489,222.60x = 346,008,481,137.81
  5. Step 5: Solve for x
    x = 346,008,481,137.81/489,222.60
  6. Step 6: Final answer
    x = 707,261.85

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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.