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Finding the Fourth Proportional to 382,308.40, 573,268.20 and 224,585.20

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Solution

The fourth proportional to 382,308.40, 573,268.20 and 224,585.20 is: 336,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,308.40 : 573,268.20 = 224,585.20 : x
  2. Step 2: Convert to fraction form
    382,308.40/573,268.20 = 224,585.20/x
  3. Step 3: Cross multiply
    382,308.40x = 573,268.20 × 224,585.20
  4. Step 4: Simplify right side
    382,308.40x = 128,747,553,350.64
  5. Step 5: Solve for x
    x = 128,747,553,350.64/382,308.40
  6. Step 6: Final answer
    x = 336,763.60

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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.