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Finding the Fourth Proportional to 576,213.98, 864,314.01 and 149,712.05

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Solution

The fourth proportional to 576,213.98, 864,314.01 and 149,712.05 is: 224,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,213.98 : 864,314.01 = 149,712.05 : x
  2. Step 2: Convert to fraction form
    576,213.98/864,314.01 = 149,712.05/x
  3. Step 3: Cross multiply
    576,213.98x = 864,314.01 × 149,712.05
  4. Step 4: Simplify right side
    576,213.98x = 129,398,224,441.61
  5. Step 5: Solve for x
    x = 129,398,224,441.61/576,213.98
  6. Step 6: Final answer
    x = 224,566.27

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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.