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Finding the Fourth Proportional to 471,855.60, 707,881.68 and 156,337.20

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Solution

The fourth proportional to 471,855.60, 707,881.68 and 156,337.20 is: 234,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,855.60 : 707,881.68 = 156,337.20 : x
  2. Step 2: Convert to fraction form
    471,855.60/707,881.68 = 156,337.20/x
  3. Step 3: Cross multiply
    471,855.60x = 707,881.68 × 156,337.20
  4. Step 4: Simplify right side
    471,855.60x = 110,668,239,782.50
  5. Step 5: Solve for x
    x = 110,668,239,782.50/471,855.60
  6. Step 6: Final answer
    x = 234,538.36

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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.