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Finding the Fourth Proportional to 338,902.92, 467,302.56 and 216,231.16

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Solution

The fourth proportional to 338,902.92, 467,302.56 and 216,231.16 is: 298,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,902.92 : 467,302.56 = 216,231.16 : x
  2. Step 2: Convert to fraction form
    338,902.92/467,302.56 = 216,231.16/x
  3. Step 3: Cross multiply
    338,902.92x = 467,302.56 × 216,231.16
  4. Step 4: Simplify right side
    338,902.92x = 101,045,374,619.77
  5. Step 5: Solve for x
    x = 101,045,374,619.77/338,902.92
  6. Step 6: Final answer
    x = 298,154.33

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1.5x scale

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.