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Finding the Fourth Proportional to 653,350.74, 978,597.27 and 463,234.83

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Solution

The fourth proportional to 653,350.74, 978,597.27 and 463,234.83 is: 693,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,350.74 : 978,597.27 = 463,234.83 : x
  2. Step 2: Convert to fraction form
    653,350.74/978,597.27 = 463,234.83/x
  3. Step 3: Cross multiply
    653,350.74x = 978,597.27 × 463,234.83
  4. Step 4: Simplify right side
    653,350.74x = 453,320,340,006.91
  5. Step 5: Solve for x
    x = 453,320,340,006.91/653,350.74
  6. Step 6: Final answer
    x = 693,839.18

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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.