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Finding the Fourth Proportional to 463,771.66, 695,545.52 and 193,753.90

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Solution

The fourth proportional to 463,771.66, 695,545.52 and 193,753.90 is: 290,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,771.66 : 695,545.52 = 193,753.90 : x
  2. Step 2: Convert to fraction form
    463,771.66/695,545.52 = 193,753.90/x
  3. Step 3: Cross multiply
    463,771.66x = 695,545.52 × 193,753.90
  4. Step 4: Simplify right side
    463,771.66x = 134,764,657,127.53
  5. Step 5: Solve for x
    x = 134,764,657,127.53/463,771.66
  6. Step 6: Final answer
    x = 290,584.07

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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.