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Finding the Fourth Proportional to 382,384.80, 574,014.60 and 224,702.10

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Solution

The fourth proportional to 382,384.80, 574,014.60 and 224,702.10 is: 337,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,384.80 : 574,014.60 = 224,702.10 : x
  2. Step 2: Convert to fraction form
    382,384.80/574,014.60 = 224,702.10/x
  3. Step 3: Cross multiply
    382,384.80x = 574,014.60 × 224,702.10
  4. Step 4: Simplify right side
    382,384.80x = 128,982,286,050.66
  5. Step 5: Solve for x
    x = 128,982,286,050.66/382,384.80
  6. Step 6: Final answer
    x = 337,310.18

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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.