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Finding the Fourth Proportional to 573,209.64, 790,195.68 and 400,591.80

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Solution

The fourth proportional to 573,209.64, 790,195.68 and 400,591.80 is: 552,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,209.64 : 790,195.68 = 400,591.80 : x
  2. Step 2: Convert to fraction form
    573,209.64/790,195.68 = 400,591.80/x
  3. Step 3: Cross multiply
    573,209.64x = 790,195.68 × 400,591.80
  4. Step 4: Simplify right side
    573,209.64x = 316,545,909,803.42
  5. Step 5: Solve for x
    x = 316,545,909,803.42/573,209.64
  6. Step 6: Final answer
    x = 552,234.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.