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Finding the Fourth Proportional to 607,098.80, 910,489.46 and 180,519.74

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Solution

The fourth proportional to 607,098.80, 910,489.46 and 180,519.74 is: 270,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,098.80 : 910,489.46 = 180,519.74 : x
  2. Step 2: Convert to fraction form
    607,098.80/910,489.46 = 180,519.74/x
  3. Step 3: Cross multiply
    607,098.80x = 910,489.46 × 180,519.74
  4. Step 4: Simplify right side
    607,098.80x = 164,361,319,566.65
  5. Step 5: Solve for x
    x = 164,361,319,566.65/607,098.80
  6. Step 6: Final answer
    x = 270,732.41

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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.