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Finding the Fourth Proportional to 414,904.86, 572,695.64 and 242,863.08

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Solution

The fourth proportional to 414,904.86, 572,695.64 and 242,863.08 is: 335,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,904.86 : 572,695.64 = 242,863.08 : x
  2. Step 2: Convert to fraction form
    414,904.86/572,695.64 = 242,863.08/x
  3. Step 3: Cross multiply
    414,904.86x = 572,695.64 × 242,863.08
  4. Step 4: Simplify right side
    414,904.86x = 139,086,627,032.97
  5. Step 5: Solve for x
    x = 139,086,627,032.97/414,904.86
  6. Step 6: Final answer
    x = 335,225.35

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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.