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Finding the Fourth Proportional to 296,512.60, 444,807.30 and 146,829.40

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Solution

The fourth proportional to 296,512.60, 444,807.30 and 146,829.40 is: 220,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,512.60 : 444,807.30 = 146,829.40 : x
  2. Step 2: Convert to fraction form
    296,512.60/444,807.30 = 146,829.40/x
  3. Step 3: Cross multiply
    296,512.60x = 444,807.30 × 146,829.40
  4. Step 4: Simplify right side
    296,512.60x = 65,310,788,974.62
  5. Step 5: Solve for x
    x = 65,310,788,974.62/296,512.60
  6. Step 6: Final answer
    x = 220,263.12

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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.