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Finding the Fourth Proportional to 546,810.63, 820,258.89 and 147,445.39

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Solution

The fourth proportional to 546,810.63, 820,258.89 and 147,445.39 is: 221,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,810.63 : 820,258.89 = 147,445.39 : x
  2. Step 2: Convert to fraction form
    546,810.63/820,258.89 = 147,445.39/x
  3. Step 3: Cross multiply
    546,810.63x = 820,258.89 × 147,445.39
  4. Step 4: Simplify right side
    546,810.63x = 120,943,391,937.02
  5. Step 5: Solve for x
    x = 120,943,391,937.02/546,810.63
  6. Step 6: Final answer
    x = 221,179.66

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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.