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Finding the Fourth Proportional to 408,053.19, 563,068.68 and 235,945.11

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Solution

The fourth proportional to 408,053.19, 563,068.68 and 235,945.11 is: 325,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.19 : 563,068.68 = 235,945.11 : x
  2. Step 2: Convert to fraction form
    408,053.19/563,068.68 = 235,945.11/x
  3. Step 3: Cross multiply
    408,053.19x = 563,068.68 × 235,945.11
  4. Step 4: Simplify right side
    408,053.19x = 132,853,301,640.16
  5. Step 5: Solve for x
    x = 132,853,301,640.16/408,053.19
  6. Step 6: Final answer
    x = 325,578.39

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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.