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Finding the Fourth Proportional to 463,590.84, 698,545.27 and 381,196.83

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Solution

The fourth proportional to 463,590.84, 698,545.27 and 381,196.83 is: 574,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,590.84 : 698,545.27 = 381,196.83 : x
  2. Step 2: Convert to fraction form
    463,590.84/698,545.27 = 381,196.83/x
  3. Step 3: Cross multiply
    463,590.84x = 698,545.27 × 381,196.83
  4. Step 4: Simplify right side
    463,590.84x = 266,283,243,487.30
  5. Step 5: Solve for x
    x = 266,283,243,487.30/463,590.84
  6. Step 6: Final answer
    x = 574,392.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.