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Finding the Fourth Proportional to 382,276.80, 573,852.60 and 224,594.10

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Solution

The fourth proportional to 382,276.80, 573,852.60 and 224,594.10 is: 337,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,276.80 : 573,852.60 = 224,594.10 : x
  2. Step 2: Convert to fraction form
    382,276.80/573,852.60 = 224,594.10/x
  3. Step 3: Cross multiply
    382,276.80x = 573,852.60 × 224,594.10
  4. Step 4: Simplify right side
    382,276.80x = 128,883,908,229.66
  5. Step 5: Solve for x
    x = 128,883,908,229.66/382,276.80
  6. Step 6: Final answer
    x = 337,148.13

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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.