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Finding the Fourth Proportional to 298,854.96, 412,407.82 and 162,886

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Solution

The fourth proportional to 298,854.96, 412,407.82 and 162,886 is: 224,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,854.96 : 412,407.82 = 162,886 : x
  2. Step 2: Convert to fraction form
    298,854.96/412,407.82 = 162,886/x
  3. Step 3: Cross multiply
    298,854.96x = 412,407.82 × 162,886
  4. Step 4: Simplify right side
    298,854.96x = 67,175,460,168.52
  5. Step 5: Solve for x
    x = 67,175,460,168.52/298,854.96
  6. Step 6: Final answer
    x = 224,776.13

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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.