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Finding the Fourth Proportional to 423,717.30, 584,896.50 and 253,918.62

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Solution

The fourth proportional to 423,717.30, 584,896.50 and 253,918.62 is: 350,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,717.30 : 584,896.50 = 253,918.62 : x
  2. Step 2: Convert to fraction form
    423,717.30/584,896.50 = 253,918.62/x
  3. Step 3: Cross multiply
    423,717.30x = 584,896.50 × 253,918.62
  4. Step 4: Simplify right side
    423,717.30x = 148,516,112,122.83
  5. Step 5: Solve for x
    x = 148,516,112,122.83/423,717.30
  6. Step 6: Final answer
    x = 350,507.55

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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.