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Finding the Fourth Proportional to 414,283.68, 571,625.75 and 242,168.38

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Solution

The fourth proportional to 414,283.68, 571,625.75 and 242,168.38 is: 334,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,283.68 : 571,625.75 = 242,168.38 : x
  2. Step 2: Convert to fraction form
    414,283.68/571,625.75 = 242,168.38/x
  3. Step 3: Cross multiply
    414,283.68x = 571,625.75 × 242,168.38
  4. Step 4: Simplify right side
    414,283.68x = 138,429,679,591.08
  5. Step 5: Solve for x
    x = 138,429,679,591.08/414,283.68
  6. Step 6: Final answer
    x = 334,142.25

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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.