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Finding the Fourth Proportional to 605,129.60, 905,726.10 and 471,285.20

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Solution

The fourth proportional to 605,129.60, 905,726.10 and 471,285.20 is: 705,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,129.60 : 905,726.10 = 471,285.20 : x
  2. Step 2: Convert to fraction form
    605,129.60/905,726.10 = 471,285.20/x
  3. Step 3: Cross multiply
    605,129.60x = 905,726.10 × 471,285.20
  4. Step 4: Simplify right side
    605,129.60x = 426,855,306,183.72
  5. Step 5: Solve for x
    x = 426,855,306,183.72/605,129.60
  6. Step 6: Final answer
    x = 705,394.85

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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.