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Finding the Fourth Proportional to 408,023.20, 611,305.80 and 197,196.40

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Solution

The fourth proportional to 408,023.20, 611,305.80 and 197,196.40 is: 295,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.20 : 611,305.80 = 197,196.40 : x
  2. Step 2: Convert to fraction form
    408,023.20/611,305.80 = 197,196.40/x
  3. Step 3: Cross multiply
    408,023.20x = 611,305.80 × 197,196.40
  4. Step 4: Simplify right side
    408,023.20x = 120,547,303,059.12
  5. Step 5: Solve for x
    x = 120,547,303,059.12/408,023.20
  6. Step 6: Final answer
    x = 295,442.28

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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.