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Finding the Fourth Proportional to 462,354.44, 693,555.66 and 146,836.04

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Solution

The fourth proportional to 462,354.44, 693,555.66 and 146,836.04 is: 220,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,354.44 : 693,555.66 = 146,836.04 : x
  2. Step 2: Convert to fraction form
    462,354.44/693,555.66 = 146,836.04/x
  3. Step 3: Cross multiply
    462,354.44x = 693,555.66 × 146,836.04
  4. Step 4: Simplify right side
    462,354.44x = 101,838,966,633.99
  5. Step 5: Solve for x
    x = 101,838,966,633.99/462,354.44
  6. Step 6: Final answer
    x = 220,261.68

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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.