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Finding the Fourth Proportional to 414,195.47, 571,633.05 and 253,157.78

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Solution

The fourth proportional to 414,195.47, 571,633.05 and 253,157.78 is: 349,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,195.47 : 571,633.05 = 253,157.78 : x
  2. Step 2: Convert to fraction form
    414,195.47/571,633.05 = 253,157.78/x
  3. Step 3: Cross multiply
    414,195.47x = 571,633.05 × 253,157.78
  4. Step 4: Simplify right side
    414,195.47x = 144,713,353,259.32
  5. Step 5: Solve for x
    x = 144,713,353,259.32/414,195.47
  6. Step 6: Final answer
    x = 349,384.20

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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.