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Finding the Fourth Proportional to 296,590.27, 444,961.26 and 86,228.21

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Solution

The fourth proportional to 296,590.27, 444,961.26 and 86,228.21 is: 129,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,590.27 : 444,961.26 = 86,228.21 : x
  2. Step 2: Convert to fraction form
    296,590.27/444,961.26 = 86,228.21/x
  3. Step 3: Cross multiply
    296,590.27x = 444,961.26 × 86,228.21
  4. Step 4: Simplify right side
    296,590.27x = 38,368,210,744.34
  5. Step 5: Solve for x
    x = 38,368,210,744.34/296,590.27
  6. Step 6: Final answer
    x = 129,364.36

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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.