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Finding the Fourth Proportional to 408,901.80, 613,352.70 and 296,927.40

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Solution

The fourth proportional to 408,901.80, 613,352.70 and 296,927.40 is: 445,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,901.80 : 613,352.70 = 296,927.40 : x
  2. Step 2: Convert to fraction form
    408,901.80/613,352.70 = 296,927.40/x
  3. Step 3: Cross multiply
    408,901.80x = 613,352.70 × 296,927.40
  4. Step 4: Simplify right side
    408,901.80x = 182,121,222,493.98
  5. Step 5: Solve for x
    x = 182,121,222,493.98/408,901.80
  6. Step 6: Final answer
    x = 445,391.10

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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.