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Finding the Fourth Proportional to 414,293.59, 571,639.44 and 242,178.31

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Solution

The fourth proportional to 414,293.59, 571,639.44 and 242,178.31 is: 334,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,293.59 : 571,639.44 = 242,178.31 : x
  2. Step 2: Convert to fraction form
    414,293.59/571,639.44 = 242,178.31/x
  3. Step 3: Cross multiply
    414,293.59x = 571,639.44 × 242,178.31
  4. Step 4: Simplify right side
    414,293.59x = 138,438,673,508.55
  5. Step 5: Solve for x
    x = 138,438,673,508.55/414,293.59
  6. Step 6: Final answer
    x = 334,155.96

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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.