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Finding the Fourth Proportional to 296,695.52, 444,990.10 and 83,412.27

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Solution

The fourth proportional to 296,695.52, 444,990.10 and 83,412.27 is: 125,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,695.52 : 444,990.10 = 83,412.27 : x
  2. Step 2: Convert to fraction form
    296,695.52/444,990.10 = 83,412.27/x
  3. Step 3: Cross multiply
    296,695.52x = 444,990.10 × 83,412.27
  4. Step 4: Simplify right side
    296,695.52x = 37,117,636,184.01
  5. Step 5: Solve for x
    x = 37,117,636,184.01/296,695.52
  6. Step 6: Final answer
    x = 125,103.46

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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.