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Finding the Fourth Proportional to 442,094.80, 663,142.20 and 146,568.40

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Solution

The fourth proportional to 442,094.80, 663,142.20 and 146,568.40 is: 219,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,094.80 : 663,142.20 = 146,568.40 : x
  2. Step 2: Convert to fraction form
    442,094.80/663,142.20 = 146,568.40/x
  3. Step 3: Cross multiply
    442,094.80x = 663,142.20 × 146,568.40
  4. Step 4: Simplify right side
    442,094.80x = 97,195,691,226.48
  5. Step 5: Solve for x
    x = 97,195,691,226.48/442,094.80
  6. Step 6: Final answer
    x = 219,852.60

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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.