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Finding the Fourth Proportional to 296,561.62, 409,322.10 and 231,902.92

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Solution

The fourth proportional to 296,561.62, 409,322.10 and 231,902.92 is: 320,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,561.62 : 409,322.10 = 231,902.92 : x
  2. Step 2: Convert to fraction form
    296,561.62/409,322.10 = 231,902.92/x
  3. Step 3: Cross multiply
    296,561.62x = 409,322.10 × 231,902.92
  4. Step 4: Simplify right side
    296,561.62x = 94,922,990,210.53
  5. Step 5: Solve for x
    x = 94,922,990,210.53/296,561.62
  6. Step 6: Final answer
    x = 320,078.47

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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.