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Finding the Fourth Proportional to 296,975.80, 445,416.30 and 86,564.52

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Solution

The fourth proportional to 296,975.80, 445,416.30 and 86,564.52 is: 129,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,975.80 : 445,416.30 = 86,564.52 : x
  2. Step 2: Convert to fraction form
    296,975.80/445,416.30 = 86,564.52/x
  3. Step 3: Cross multiply
    296,975.80x = 445,416.30 × 86,564.52
  4. Step 4: Simplify right side
    296,975.80x = 38,557,248,209.68
  5. Step 5: Solve for x
    x = 38,557,248,209.68/296,975.80
  6. Step 6: Final answer
    x = 129,832.96

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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.