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Finding the Fourth Proportional to 565,534.25, 780,456.27 and 332,919.21

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Solution

The fourth proportional to 565,534.25, 780,456.27 and 332,919.21 is: 459,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,534.25 : 780,456.27 = 332,919.21 : x
  2. Step 2: Convert to fraction form
    565,534.25/780,456.27 = 332,919.21/x
  3. Step 3: Cross multiply
    565,534.25x = 780,456.27 × 332,919.21
  4. Step 4: Simplify right side
    565,534.25x = 259,828,884,847.95
  5. Step 5: Solve for x
    x = 259,828,884,847.95/565,534.25
  6. Step 6: Final answer
    x = 459,439.70

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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.