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Finding the Fourth Proportional to 298,765.08, 412,306.20 and 162,810.20

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Solution

The fourth proportional to 298,765.08, 412,306.20 and 162,810.20 is: 224,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,765.08 : 412,306.20 = 162,810.20 : x
  2. Step 2: Convert to fraction form
    298,765.08/412,306.20 = 162,810.20/x
  3. Step 3: Cross multiply
    298,765.08x = 412,306.20 × 162,810.20
  4. Step 4: Simplify right side
    298,765.08x = 67,127,654,883.24
  5. Step 5: Solve for x
    x = 67,127,654,883.24/298,765.08
  6. Step 6: Final answer
    x = 224,683.74

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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.