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Finding the Fourth Proportional to 547,291.40, 820,937.10 and 147,920.90

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Solution

The fourth proportional to 547,291.40, 820,937.10 and 147,920.90 is: 221,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,291.40 : 820,937.10 = 147,920.90 : x
  2. Step 2: Convert to fraction form
    547,291.40/820,937.10 = 147,920.90/x
  3. Step 3: Cross multiply
    547,291.40x = 820,937.10 × 147,920.90
  4. Step 4: Simplify right side
    547,291.40x = 121,433,754,675.39
  5. Step 5: Solve for x
    x = 121,433,754,675.39/547,291.40
  6. Step 6: Final answer
    x = 221,881.35

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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.