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Finding the Fourth Proportional to 408,032.10, 612,048.15 and 308,499.30

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Solution

The fourth proportional to 408,032.10, 612,048.15 and 308,499.30 is: 462,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.10 : 612,048.15 = 308,499.30 : x
  2. Step 2: Convert to fraction form
    408,032.10/612,048.15 = 308,499.30/x
  3. Step 3: Cross multiply
    408,032.10x = 612,048.15 × 308,499.30
  4. Step 4: Simplify right side
    408,032.10x = 188,816,425,841.30
  5. Step 5: Solve for x
    x = 188,816,425,841.30/408,032.10
  6. Step 6: Final answer
    x = 462,748.95

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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.