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Finding the Fourth Proportional to 414,614.19, 571,881.24 and 253,548.48

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Solution

The fourth proportional to 414,614.19, 571,881.24 and 253,548.48 is: 349,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,614.19 : 571,881.24 = 253,548.48 : x
  2. Step 2: Convert to fraction form
    414,614.19/571,881.24 = 253,548.48/x
  3. Step 3: Cross multiply
    414,614.19x = 571,881.24 × 253,548.48
  4. Step 4: Simplify right side
    414,614.19x = 144,999,619,142.52
  5. Step 5: Solve for x
    x = 144,999,619,142.52/414,614.19
  6. Step 6: Final answer
    x = 349,721.80

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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.