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Finding the Fourth Proportional to 414,908.86, 572,701.18 and 242,867.10

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Solution

The fourth proportional to 414,908.86, 572,701.18 and 242,867.10 is: 335,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,908.86 : 572,701.18 = 242,867.10 : x
  2. Step 2: Convert to fraction form
    414,908.86/572,701.18 = 242,867.10/x
  3. Step 3: Cross multiply
    414,908.86x = 572,701.18 × 242,867.10
  4. Step 4: Simplify right side
    414,908.86x = 139,090,274,753.18
  5. Step 5: Solve for x
    x = 139,090,274,753.18/414,908.86
  6. Step 6: Final answer
    x = 335,230.91

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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.