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Finding the Fourth Proportional to 773,281, 1,067,125.60 and 429,168.88

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Solution

The fourth proportional to 773,281, 1,067,125.60 and 429,168.88 is: 592,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,281 : 1,067,125.60 = 429,168.88 : x
  2. Step 2: Convert to fraction form
    773,281/1,067,125.60 = 429,168.88/x
  3. Step 3: Cross multiply
    773,281x = 1,067,125.60 × 429,168.88
  4. Step 4: Simplify right side
    773,281x = 457,977,098,571.33
  5. Step 5: Solve for x
    x = 457,977,098,571.33/773,281
  6. Step 6: Final answer
    x = 592,251.84

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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.