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Finding the Fourth Proportional to 296,751.12, 409,658.46 and 169,402.11

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Solution

The fourth proportional to 296,751.12, 409,658.46 and 169,402.11 is: 233,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,751.12 : 409,658.46 = 169,402.11 : x
  2. Step 2: Convert to fraction form
    296,751.12/409,658.46 = 169,402.11/x
  3. Step 3: Cross multiply
    296,751.12x = 409,658.46 × 169,402.11
  4. Step 4: Simplify right side
    296,751.12x = 69,397,007,503.35
  5. Step 5: Solve for x
    x = 69,397,007,503.35/296,751.12
  6. Step 6: Final answer
    x = 233,855.92

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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.