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Finding the Fourth Proportional to 414,747.64, 572,351.87 and 242,698.68

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Solution

The fourth proportional to 414,747.64, 572,351.87 and 242,698.68 is: 334,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,747.64 : 572,351.87 = 242,698.68 : x
  2. Step 2: Convert to fraction form
    414,747.64/572,351.87 = 242,698.68/x
  3. Step 3: Cross multiply
    414,747.64x = 572,351.87 × 242,698.68
  4. Step 4: Simplify right side
    414,747.64x = 138,909,043,344.53
  5. Step 5: Solve for x
    x = 138,909,043,344.53/414,747.64
  6. Step 6: Final answer
    x = 334,924.25

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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.