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Finding the Fourth Proportional to 646,423.38, 892,078.65 and 359,970.12

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Solution

The fourth proportional to 646,423.38, 892,078.65 and 359,970.12 is: 496,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,423.38 : 892,078.65 = 359,970.12 : x
  2. Step 2: Convert to fraction form
    646,423.38/892,078.65 = 359,970.12/x
  3. Step 3: Cross multiply
    646,423.38x = 892,078.65 × 359,970.12
  4. Step 4: Simplify right side
    646,423.38x = 321,121,658,689.94
  5. Step 5: Solve for x
    x = 321,121,658,689.94/646,423.38
  6. Step 6: Final answer
    x = 496,766.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.