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Finding the Fourth Proportional to 316,282.96, 436,613.16 and 201,715.48

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Solution

The fourth proportional to 316,282.96, 436,613.16 and 201,715.48 is: 278,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,282.96 : 436,613.16 = 201,715.48 : x
  2. Step 2: Convert to fraction form
    316,282.96/436,613.16 = 201,715.48/x
  3. Step 3: Cross multiply
    316,282.96x = 436,613.16 × 201,715.48
  4. Step 4: Simplify right side
    316,282.96x = 88,071,633,143.72
  5. Step 5: Solve for x
    x = 88,071,633,143.72/316,282.96
  6. Step 6: Final answer
    x = 278,458.36

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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.