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Finding the Fourth Proportional to 534,327.84, 801,545.22 and 197,456.94

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Solution

The fourth proportional to 534,327.84, 801,545.22 and 197,456.94 is: 296,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,327.84 : 801,545.22 = 197,456.94 : x
  2. Step 2: Convert to fraction form
    534,327.84/801,545.22 = 197,456.94/x
  3. Step 3: Cross multiply
    534,327.84x = 801,545.22 × 197,456.94
  4. Step 4: Simplify right side
    534,327.84x = 158,270,666,412.83
  5. Step 5: Solve for x
    x = 158,270,666,412.83/534,327.84
  6. Step 6: Final answer
    x = 296,205.17

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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.