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Finding the Fourth Proportional to 294,508.86, 406,411.55 and 179,979.11

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Solution

The fourth proportional to 294,508.86, 406,411.55 and 179,979.11 is: 248,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,508.86 : 406,411.55 = 179,979.11 : x
  2. Step 2: Convert to fraction form
    294,508.86/406,411.55 = 179,979.11/x
  3. Step 3: Cross multiply
    294,508.86x = 406,411.55 × 179,979.11
  4. Step 4: Simplify right side
    294,508.86x = 73,145,588,496.64
  5. Step 5: Solve for x
    x = 73,145,588,496.64/294,508.86
  6. Step 6: Final answer
    x = 248,364.65

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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.