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Finding the Fourth Proportional to 546,954.68, 820,432.02 and 147,594.82

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Solution

The fourth proportional to 546,954.68, 820,432.02 and 147,594.82 is: 221,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,954.68 : 820,432.02 = 147,594.82 : x
  2. Step 2: Convert to fraction form
    546,954.68/820,432.02 = 147,594.82/x
  3. Step 3: Cross multiply
    546,954.68x = 820,432.02 × 147,594.82
  4. Step 4: Simplify right side
    546,954.68x = 121,091,516,314.14
  5. Step 5: Solve for x
    x = 121,091,516,314.14/546,954.68
  6. Step 6: Final answer
    x = 221,392.23

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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.