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Finding the Fourth Proportional to 408,651.78, 563,925.27 and 224,873.19

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Solution

The fourth proportional to 408,651.78, 563,925.27 and 224,873.19 is: 310,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,651.78 : 563,925.27 = 224,873.19 : x
  2. Step 2: Convert to fraction form
    408,651.78/563,925.27 = 224,873.19/x
  3. Step 3: Cross multiply
    408,651.78x = 563,925.27 × 224,873.19
  4. Step 4: Simplify right side
    408,651.78x = 126,811,674,386.51
  5. Step 5: Solve for x
    x = 126,811,674,386.51/408,651.78
  6. Step 6: Final answer
    x = 310,317.20

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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.