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Finding the Fourth Proportional to 298,793.18, 412,329.42 and 162,828.30

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Solution

The fourth proportional to 298,793.18, 412,329.42 and 162,828.30 is: 224,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,793.18 : 412,329.42 = 162,828.30 : x
  2. Step 2: Convert to fraction form
    298,793.18/412,329.42 = 162,828.30/x
  3. Step 3: Cross multiply
    298,793.18x = 412,329.42 × 162,828.30
  4. Step 4: Simplify right side
    298,793.18x = 67,138,898,498.59
  5. Step 5: Solve for x
    x = 67,138,898,498.59/298,793.18
  6. Step 6: Final answer
    x = 224,700.24

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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.