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Finding the Fourth Proportional to 461,691, 637,144.32 and 289,616.22

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Solution

The fourth proportional to 461,691, 637,144.32 and 289,616.22 is: 399,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,691 : 637,144.32 = 289,616.22 : x
  2. Step 2: Convert to fraction form
    461,691/637,144.32 = 289,616.22/x
  3. Step 3: Cross multiply
    461,691x = 637,144.32 × 289,616.22
  4. Step 4: Simplify right side
    461,691x = 184,527,329,552.87
  5. Step 5: Solve for x
    x = 184,527,329,552.87/461,691
  6. Step 6: Final answer
    x = 399,677.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.