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Finding the Fourth Proportional to 546,821.30, 820,274.79 and 147,456.02

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Solution

The fourth proportional to 546,821.30, 820,274.79 and 147,456.02 is: 221,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,821.30 : 820,274.79 = 147,456.02 : x
  2. Step 2: Convert to fraction form
    546,821.30/820,274.79 = 147,456.02/x
  3. Step 3: Cross multiply
    546,821.30x = 820,274.79 × 147,456.02
  4. Step 4: Simplify right side
    546,821.30x = 120,954,455,839.74
  5. Step 5: Solve for x
    x = 120,954,455,839.74/546,821.30
  6. Step 6: Final answer
    x = 221,195.58

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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.