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Finding the Fourth Proportional to 296,153.83, 444,230.40 and 96,473.90

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Solution

The fourth proportional to 296,153.83, 444,230.40 and 96,473.90 is: 144,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,153.83 : 444,230.40 = 96,473.90 : x
  2. Step 2: Convert to fraction form
    296,153.83/444,230.40 = 96,473.90/x
  3. Step 3: Cross multiply
    296,153.83x = 444,230.40 × 96,473.90
  4. Step 4: Simplify right side
    296,153.83x = 42,856,636,965.41
  5. Step 5: Solve for x
    x = 42,856,636,965.41/296,153.83
  6. Step 6: Final answer
    x = 144,710.73

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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.