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Finding the Fourth Proportional to 411,131.46, 616,703.96 and 144,895.17

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Solution

The fourth proportional to 411,131.46, 616,703.96 and 144,895.17 is: 217,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,131.46 : 616,703.96 = 144,895.17 : x
  2. Step 2: Convert to fraction form
    411,131.46/616,703.96 = 144,895.17/x
  3. Step 3: Cross multiply
    411,131.46x = 616,703.96 × 144,895.17
  4. Step 4: Simplify right side
    411,131.46x = 89,357,425,123.87
  5. Step 5: Solve for x
    x = 89,357,425,123.87/411,131.46
  6. Step 6: Final answer
    x = 217,345.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.