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Finding the Fourth Proportional to 414,126.86, 571,455.68 and 242,085.15

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Solution

The fourth proportional to 414,126.86, 571,455.68 and 242,085.15 is: 334,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,126.86 : 571,455.68 = 242,085.15 : x
  2. Step 2: Convert to fraction form
    414,126.86/571,455.68 = 242,085.15/x
  3. Step 3: Cross multiply
    414,126.86x = 571,455.68 × 242,085.15
  4. Step 4: Simplify right side
    414,126.86x = 138,340,932,800.73
  5. Step 5: Solve for x
    x = 138,340,932,800.73/414,126.86
  6. Step 6: Final answer
    x = 334,054.48

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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.