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Finding the Fourth Proportional to 347,853.60, 521,953.20 and 137,498.40

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Solution

The fourth proportional to 347,853.60, 521,953.20 and 137,498.40 is: 206,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,853.60 : 521,953.20 = 137,498.40 : x
  2. Step 2: Convert to fraction form
    347,853.60/521,953.20 = 137,498.40/x
  3. Step 3: Cross multiply
    347,853.60x = 521,953.20 × 137,498.40
  4. Step 4: Simplify right side
    347,853.60x = 71,767,729,874.88
  5. Step 5: Solve for x
    x = 71,767,729,874.88/347,853.60
  6. Step 6: Final answer
    x = 206,315.90

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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.