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Finding the Fourth Proportional to 408,531.40, 612,278.70 and 361,875.40

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Solution

The fourth proportional to 408,531.40, 612,278.70 and 361,875.40 is: 542,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,531.40 : 612,278.70 = 361,875.40 : x
  2. Step 2: Convert to fraction form
    408,531.40/612,278.70 = 361,875.40/x
  3. Step 3: Cross multiply
    408,531.40x = 612,278.70 × 361,875.40
  4. Step 4: Simplify right side
    408,531.40x = 221,568,599,473.98
  5. Step 5: Solve for x
    x = 221,568,599,473.98/408,531.40
  6. Step 6: Final answer
    x = 542,353.90

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1.5x scale

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.