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Finding the Fourth Proportional to 393,716.84, 543,257.70 and 232,598.12

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Solution

The fourth proportional to 393,716.84, 543,257.70 and 232,598.12 is: 320,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,716.84 : 543,257.70 = 232,598.12 : x
  2. Step 2: Convert to fraction form
    393,716.84/543,257.70 = 232,598.12/x
  3. Step 3: Cross multiply
    393,716.84x = 543,257.70 × 232,598.12
  4. Step 4: Simplify right side
    393,716.84x = 126,360,719,695.52
  5. Step 5: Solve for x
    x = 126,360,719,695.52/393,716.84
  6. Step 6: Final answer
    x = 320,943.14

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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.