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Finding the Fourth Proportional to 473,232.70, 709,849.05 and 454,861.90

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Solution

The fourth proportional to 473,232.70, 709,849.05 and 454,861.90 is: 682,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,232.70 : 709,849.05 = 454,861.90 : x
  2. Step 2: Convert to fraction form
    473,232.70/709,849.05 = 454,861.90/x
  3. Step 3: Cross multiply
    473,232.70x = 709,849.05 × 454,861.90
  4. Step 4: Simplify right side
    473,232.70x = 322,883,287,596.20
  5. Step 5: Solve for x
    x = 322,883,287,596.20/473,232.70
  6. Step 6: Final answer
    x = 682,292.85

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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.