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Finding the Fourth Proportional to 462,052.40, 693,132.60 and 146,541.20

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Solution

The fourth proportional to 462,052.40, 693,132.60 and 146,541.20 is: 219,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,052.40 : 693,132.60 = 146,541.20 : x
  2. Step 2: Convert to fraction form
    462,052.40/693,132.60 = 146,541.20/x
  3. Step 3: Cross multiply
    462,052.40x = 693,132.60 × 146,541.20
  4. Step 4: Simplify right side
    462,052.40x = 101,572,482,963.12
  5. Step 5: Solve for x
    x = 101,572,482,963.12/462,052.40
  6. Step 6: Final answer
    x = 219,828.93

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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.