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Finding the Fourth Proportional to 465,023, 697,540.98 and 132,599

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Solution

The fourth proportional to 465,023, 697,540.98 and 132,599 is: 198,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,023 : 697,540.98 = 132,599 : x
  2. Step 2: Convert to fraction form
    465,023/697,540.98 = 132,599/x
  3. Step 3: Cross multiply
    465,023x = 697,540.98 × 132,599
  4. Step 4: Simplify right side
    465,023x = 92,493,236,407.02
  5. Step 5: Solve for x
    x = 92,493,236,407.02/465,023
  6. Step 6: Final answer
    x = 198,900.35

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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.