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Finding the Fourth Proportional to 409,747.68, 565,422.93 and 228,451.86

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Solution

The fourth proportional to 409,747.68, 565,422.93 and 228,451.86 is: 315,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,747.68 : 565,422.93 = 228,451.86 : x
  2. Step 2: Convert to fraction form
    409,747.68/565,422.93 = 228,451.86/x
  3. Step 3: Cross multiply
    409,747.68x = 565,422.93 × 228,451.86
  4. Step 4: Simplify right side
    409,747.68x = 129,171,920,045.15
  5. Step 5: Solve for x
    x = 129,171,920,045.15/409,747.68
  6. Step 6: Final answer
    x = 315,247.47

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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.