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Finding the Fourth Proportional to 471,397.24, 707,137.58 and 134,430.76

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Solution

The fourth proportional to 471,397.24, 707,137.58 and 134,430.76 is: 201,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,397.24 : 707,137.58 = 134,430.76 : x
  2. Step 2: Convert to fraction form
    471,397.24/707,137.58 = 134,430.76/x
  3. Step 3: Cross multiply
    471,397.24x = 707,137.58 × 134,430.76
  4. Step 4: Simplify right side
    471,397.24x = 95,061,042,303.96
  5. Step 5: Solve for x
    x = 95,061,042,303.96/471,397.24
  6. Step 6: Final answer
    x = 201,658.04

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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.