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Finding the Fourth Proportional to 408,442.38, 612,746.57 and 142,223.64

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Solution

The fourth proportional to 408,442.38, 612,746.57 and 142,223.64 is: 213,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,442.38 : 612,746.57 = 142,223.64 : x
  2. Step 2: Convert to fraction form
    408,442.38/612,746.57 = 142,223.64/x
  3. Step 3: Cross multiply
    408,442.38x = 612,746.57 × 142,223.64
  4. Step 4: Simplify right side
    408,442.38x = 87,147,047,582.91
  5. Step 5: Solve for x
    x = 87,147,047,582.91/408,442.38
  6. Step 6: Final answer
    x = 213,364.36

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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.