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Finding the Fourth Proportional to 298,801.52, 412,334.10 and 162,832.57

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Solution

The fourth proportional to 298,801.52, 412,334.10 and 162,832.57 is: 224,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,801.52 : 412,334.10 = 162,832.57 : x
  2. Step 2: Convert to fraction form
    298,801.52/412,334.10 = 162,832.57/x
  3. Step 3: Cross multiply
    298,801.52x = 412,334.10 × 162,832.57
  4. Step 4: Simplify right side
    298,801.52x = 67,141,421,201.64
  5. Step 5: Solve for x
    x = 67,141,421,201.64/298,801.52
  6. Step 6: Final answer
    x = 224,702.41

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1.5x scale

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.