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Finding the Fourth Proportional to 441,972.80, 662,959.20 and 146,484.80

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Solution

The fourth proportional to 441,972.80, 662,959.20 and 146,484.80 is: 219,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,972.80 : 662,959.20 = 146,484.80 : x
  2. Step 2: Convert to fraction form
    441,972.80/662,959.20 = 146,484.80/x
  3. Step 3: Cross multiply
    441,972.80x = 662,959.20 × 146,484.80
  4. Step 4: Simplify right side
    441,972.80x = 97,113,445,820.16
  5. Step 5: Solve for x
    x = 97,113,445,820.16/441,972.80
  6. Step 6: Final answer
    x = 219,727.20

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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.