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Finding the Fourth Proportional to 468,642.13, 646,726.49 and 253,782.43

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Solution

The fourth proportional to 468,642.13, 646,726.49 and 253,782.43 is: 350,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,642.13 : 646,726.49 = 253,782.43 : x
  2. Step 2: Convert to fraction form
    468,642.13/646,726.49 = 253,782.43/x
  3. Step 3: Cross multiply
    468,642.13x = 646,726.49 × 253,782.43
  4. Step 4: Simplify right side
    468,642.13x = 164,127,820,177.57
  5. Step 5: Solve for x
    x = 164,127,820,177.57/468,642.13
  6. Step 6: Final answer
    x = 350,219.94

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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.