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Finding the Fourth Proportional to 305,886.96, 422,174.16 and 176,829.66

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Solution

The fourth proportional to 305,886.96, 422,174.16 and 176,829.66 is: 244,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,886.96 : 422,174.16 = 176,829.66 : x
  2. Step 2: Convert to fraction form
    305,886.96/422,174.16 = 176,829.66/x
  3. Step 3: Cross multiply
    305,886.96x = 422,174.16 × 176,829.66
  4. Step 4: Simplify right side
    305,886.96x = 74,652,913,173.59
  5. Step 5: Solve for x
    x = 74,652,913,173.59/305,886.96
  6. Step 6: Final answer
    x = 244,053.92

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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.