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Finding the Fourth Proportional to 294,703.62, 406,513.74 and 179,929.86

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Solution

The fourth proportional to 294,703.62, 406,513.74 and 179,929.86 is: 248,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,703.62 : 406,513.74 = 179,929.86 : x
  2. Step 2: Convert to fraction form
    294,703.62/406,513.74 = 179,929.86/x
  3. Step 3: Cross multiply
    294,703.62x = 406,513.74 × 179,929.86
  4. Step 4: Simplify right side
    294,703.62x = 73,143,960,326.28
  5. Step 5: Solve for x
    x = 73,143,960,326.28/294,703.62
  6. Step 6: Final answer
    x = 248,194.98

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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.