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Finding the Fourth Proportional to 338,535.84, 467,168.40 and 204,376.48

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Solution

The fourth proportional to 338,535.84, 467,168.40 and 204,376.48 is: 282,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,535.84 : 467,168.40 = 204,376.48 : x
  2. Step 2: Convert to fraction form
    338,535.84/467,168.40 = 204,376.48/x
  3. Step 3: Cross multiply
    338,535.84x = 467,168.40 × 204,376.48
  4. Step 4: Simplify right side
    338,535.84x = 95,478,233,159.23
  5. Step 5: Solve for x
    x = 95,478,233,159.23/338,535.84
  6. Step 6: Final answer
    x = 282,032.87

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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.