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Finding the Fourth Proportional to 773,422.92, 1,067,307.54 and 429,238.86

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Solution

The fourth proportional to 773,422.92, 1,067,307.54 and 429,238.86 is: 592,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,422.92 : 1,067,307.54 = 429,238.86 : x
  2. Step 2: Convert to fraction form
    773,422.92/1,067,307.54 = 429,238.86/x
  3. Step 3: Cross multiply
    773,422.92x = 1,067,307.54 × 429,238.86
  4. Step 4: Simplify right side
    773,422.92x = 458,129,871,739.00
  5. Step 5: Solve for x
    x = 458,129,871,739.00/773,422.92
  6. Step 6: Final answer
    x = 592,340.70

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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.