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Finding the Fourth Proportional to 294,854.47, 406,577.61 and 199,195.07

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Solution

The fourth proportional to 294,854.47, 406,577.61 and 199,195.07 is: 274,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,854.47 : 406,577.61 = 199,195.07 : x
  2. Step 2: Convert to fraction form
    294,854.47/406,577.61 = 199,195.07/x
  3. Step 3: Cross multiply
    294,854.47x = 406,577.61 × 199,195.07
  4. Step 4: Simplify right side
    294,854.47x = 80,988,255,484.38
  5. Step 5: Solve for x
    x = 80,988,255,484.38/294,854.47
  6. Step 6: Final answer
    x = 274,671.96

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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.