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Finding the Fourth Proportional to 349,651.12, 524,308.92 and 160,052.80

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Solution

The fourth proportional to 349,651.12, 524,308.92 and 160,052.80 is: 240,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,651.12 : 524,308.92 = 160,052.80 : x
  2. Step 2: Convert to fraction form
    349,651.12/524,308.92 = 160,052.80/x
  3. Step 3: Cross multiply
    349,651.12x = 524,308.92 × 160,052.80
  4. Step 4: Simplify right side
    349,651.12x = 83,917,110,710.98
  5. Step 5: Solve for x
    x = 83,917,110,710.98/349,651.12
  6. Step 6: Final answer
    x = 240,002.41

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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.