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Finding the Fourth Proportional to 414,293.34, 571,639.08 and 242,178.06

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Solution

The fourth proportional to 414,293.34, 571,639.08 and 242,178.06 is: 334,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,293.34 : 571,639.08 = 242,178.06 : x
  2. Step 2: Convert to fraction form
    414,293.34/571,639.08 = 242,178.06/x
  3. Step 3: Cross multiply
    414,293.34x = 571,639.08 × 242,178.06
  4. Step 4: Simplify right side
    414,293.34x = 138,438,443,414.59
  5. Step 5: Solve for x
    x = 138,438,443,414.59/414,293.34
  6. Step 6: Final answer
    x = 334,155.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.