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Finding the Fourth Proportional to 419,656.20, 578,952.24 and 292,405.56

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Solution

The fourth proportional to 419,656.20, 578,952.24 and 292,405.56 is: 403,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,656.20 : 578,952.24 = 292,405.56 : x
  2. Step 2: Convert to fraction form
    419,656.20/578,952.24 = 292,405.56/x
  3. Step 3: Cross multiply
    419,656.20x = 578,952.24 × 292,405.56
  4. Step 4: Simplify right side
    419,656.20x = 169,288,853,950.45
  5. Step 5: Solve for x
    x = 169,288,853,950.45/419,656.20
  6. Step 6: Final answer
    x = 403,398.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.