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Finding the Fourth Proportional to 408,264.35, 563,407.00 and 224,514.77

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Solution

The fourth proportional to 408,264.35, 563,407.00 and 224,514.77 is: 309,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,264.35 : 563,407.00 = 224,514.77 : x
  2. Step 2: Convert to fraction form
    408,264.35/563,407.00 = 224,514.77/x
  3. Step 3: Cross multiply
    408,264.35x = 563,407.00 × 224,514.77
  4. Step 4: Simplify right side
    408,264.35x = 126,493,189,081.78
  5. Step 5: Solve for x
    x = 126,493,189,081.78/408,264.35
  6. Step 6: Final answer
    x = 309,831.58

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