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Finding the Fourth Proportional to 463,841.67, 695,728.47 and 148,213.83

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Solution

The fourth proportional to 463,841.67, 695,728.47 and 148,213.83 is: 222,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,841.67 : 695,728.47 = 148,213.83 : x
  2. Step 2: Convert to fraction form
    463,841.67/695,728.47 = 148,213.83/x
  3. Step 3: Cross multiply
    463,841.67x = 695,728.47 × 148,213.83
  4. Step 4: Simplify right side
    463,841.67x = 103,116,581,178.74
  5. Step 5: Solve for x
    x = 103,116,581,178.74/463,841.67
  6. Step 6: Final answer
    x = 222,309.87

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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.