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Finding the Fourth Proportional to 471,592.57, 706,962.12 and 172,002.91

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Solution

The fourth proportional to 471,592.57, 706,962.12 and 172,002.91 is: 257,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,592.57 : 706,962.12 = 172,002.91 : x
  2. Step 2: Convert to fraction form
    471,592.57/706,962.12 = 172,002.91/x
  3. Step 3: Cross multiply
    471,592.57x = 706,962.12 × 172,002.91
  4. Step 4: Simplify right side
    471,592.57x = 121,599,541,899.77
  5. Step 5: Solve for x
    x = 121,599,541,899.77/471,592.57
  6. Step 6: Final answer
    x = 257,848.72

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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.