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Finding the Fourth Proportional to 296,136.40, 444,496.20 and 146,545.60

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Solution

The fourth proportional to 296,136.40, 444,496.20 and 146,545.60 is: 219,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,136.40 : 444,496.20 = 146,545.60 : x
  2. Step 2: Convert to fraction form
    296,136.40/444,496.20 = 146,545.60/x
  3. Step 3: Cross multiply
    296,136.40x = 444,496.20 × 146,545.60
  4. Step 4: Simplify right side
    296,136.40x = 65,138,962,326.72
  5. Step 5: Solve for x
    x = 65,138,962,326.72/296,136.40
  6. Step 6: Final answer
    x = 219,962.70

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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.