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Finding the Fourth Proportional to 566,767.86, 782,194.92 and 423,278.82

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Solution

The fourth proportional to 566,767.86, 782,194.92 and 423,278.82 is: 584,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,767.86 : 782,194.92 = 423,278.82 : x
  2. Step 2: Convert to fraction form
    566,767.86/782,194.92 = 423,278.82/x
  3. Step 3: Cross multiply
    566,767.86x = 782,194.92 × 423,278.82
  4. Step 4: Simplify right side
    566,767.86x = 331,086,542,747.59
  5. Step 5: Solve for x
    x = 331,086,542,747.59/566,767.86
  6. Step 6: Final answer
    x = 584,166.05

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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.