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Finding the Fourth Proportional to 408,266.16, 563,419.53 and 224,495.22

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Solution

The fourth proportional to 408,266.16, 563,419.53 and 224,495.22 is: 309,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,266.16 : 563,419.53 = 224,495.22 : x
  2. Step 2: Convert to fraction form
    408,266.16/563,419.53 = 224,495.22/x
  3. Step 3: Cross multiply
    408,266.16x = 563,419.53 × 224,495.22
  4. Step 4: Simplify right side
    408,266.16x = 126,484,991,339.65
  5. Step 5: Solve for x
    x = 126,484,991,339.65/408,266.16
  6. Step 6: Final answer
    x = 309,810.13

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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.