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Finding the Fourth Proportional to 462,013.40, 693,074.10 and 146,502.20

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Solution

The fourth proportional to 462,013.40, 693,074.10 and 146,502.20 is: 219,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,013.40 : 693,074.10 = 146,502.20 : x
  2. Step 2: Convert to fraction form
    462,013.40/693,074.10 = 146,502.20/x
  3. Step 3: Cross multiply
    462,013.40x = 693,074.10 × 146,502.20
  4. Step 4: Simplify right side
    462,013.40x = 101,536,880,413.02
  5. Step 5: Solve for x
    x = 101,536,880,413.02/462,013.40
  6. Step 6: Final answer
    x = 219,770.42

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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.