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Finding the Fourth Proportional to 382,314.80, 573,909.60 and 224,632.10

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Solution

The fourth proportional to 382,314.80, 573,909.60 and 224,632.10 is: 337,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,314.80 : 573,909.60 = 224,632.10 : x
  2. Step 2: Convert to fraction form
    382,314.80/573,909.60 = 224,632.10/x
  3. Step 3: Cross multiply
    382,314.80x = 573,909.60 × 224,632.10
  4. Step 4: Simplify right side
    382,314.80x = 128,918,518,658.16
  5. Step 5: Solve for x
    x = 128,918,518,658.16/382,314.80
  6. Step 6: Final answer
    x = 337,205.15

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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.