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Finding the Fourth Proportional to 478,444, 660,282.96 and 263,584.48

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Solution

The fourth proportional to 478,444, 660,282.96 and 263,584.48 is: 363,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,444 : 660,282.96 = 263,584.48 : x
  2. Step 2: Convert to fraction form
    478,444/660,282.96 = 263,584.48/x
  3. Step 3: Cross multiply
    478,444x = 660,282.96 × 263,584.48
  4. Step 4: Simplify right side
    478,444x = 174,040,340,664.46
  5. Step 5: Solve for x
    x = 174,040,340,664.46/478,444
  6. Step 6: Final answer
    x = 363,763.24

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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.