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Finding the Fourth Proportional to 264,346.47, 396,913.35 and 106,882.47

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Solution

The fourth proportional to 264,346.47, 396,913.35 and 106,882.47 is: 160,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,346.47 : 396,913.35 = 106,882.47 : x
  2. Step 2: Convert to fraction form
    264,346.47/396,913.35 = 106,882.47/x
  3. Step 3: Cross multiply
    264,346.47x = 396,913.35 × 106,882.47
  4. Step 4: Simplify right side
    264,346.47x = 42,423,079,223.97
  5. Step 5: Solve for x
    x = 42,423,079,223.97/264,346.47
  6. Step 6: Final answer
    x = 160,482.87

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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.