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Finding the Fourth Proportional to 463,861.90, 695,892.03 and 144,006.76

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Solution

The fourth proportional to 463,861.90, 695,892.03 and 144,006.76 is: 216,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,861.90 : 695,892.03 = 144,006.76 : x
  2. Step 2: Convert to fraction form
    463,861.90/695,892.03 = 144,006.76/x
  3. Step 3: Cross multiply
    463,861.90x = 695,892.03 × 144,006.76
  4. Step 4: Simplify right side
    463,861.90x = 100,213,156,550.12
  5. Step 5: Solve for x
    x = 100,213,156,550.12/463,861.90
  6. Step 6: Final answer
    x = 216,040.93

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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.