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Finding the Fourth Proportional to 462,081.40, 693,176.10 and 146,570.20

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Solution

The fourth proportional to 462,081.40, 693,176.10 and 146,570.20 is: 219,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,081.40 : 693,176.10 = 146,570.20 : x
  2. Step 2: Convert to fraction form
    462,081.40/693,176.10 = 146,570.20/x
  3. Step 3: Cross multiply
    462,081.40x = 693,176.10 × 146,570.20
  4. Step 4: Simplify right side
    462,081.40x = 101,598,959,612.22
  5. Step 5: Solve for x
    x = 101,598,959,612.22/462,081.40
  6. Step 6: Final answer
    x = 219,872.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.