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Finding the Fourth Proportional to 296,708, 445,117.80 and 119,229.08

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Solution

The fourth proportional to 296,708, 445,117.80 and 119,229.08 is: 178,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,708 : 445,117.80 = 119,229.08 : x
  2. Step 2: Convert to fraction form
    296,708/445,117.80 = 119,229.08/x
  3. Step 3: Cross multiply
    296,708x = 445,117.80 × 119,229.08
  4. Step 4: Simplify right side
    296,708x = 53,070,985,785.62
  5. Step 5: Solve for x
    x = 53,070,985,785.62/296,708
  6. Step 6: Final answer
    x = 178,866.04

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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.