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Finding the Fourth Proportional to 413,488.92, 570,316.50 and 379,605

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Solution

The fourth proportional to 413,488.92, 570,316.50 and 379,605 is: 523,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,488.92 : 570,316.50 = 379,605 : x
  2. Step 2: Convert to fraction form
    413,488.92/570,316.50 = 379,605/x
  3. Step 3: Cross multiply
    413,488.92x = 570,316.50 × 379,605
  4. Step 4: Simplify right side
    413,488.92x = 216,494,994,982.50
  5. Step 5: Solve for x
    x = 216,494,994,982.50/413,488.92
  6. Step 6: Final answer
    x = 523,581.13

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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.