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Finding the Fourth Proportional to 408,088.10, 612,132.15 and 221,464.10

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Solution

The fourth proportional to 408,088.10, 612,132.15 and 221,464.10 is: 332,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,088.10 : 612,132.15 = 221,464.10 : x
  2. Step 2: Convert to fraction form
    408,088.10/612,132.15 = 221,464.10/x
  3. Step 3: Cross multiply
    408,088.10x = 612,132.15 × 221,464.10
  4. Step 4: Simplify right side
    408,088.10x = 135,565,295,680.82
  5. Step 5: Solve for x
    x = 135,565,295,680.82/408,088.10
  6. Step 6: Final answer
    x = 332,196.15

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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.