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Finding the Fourth Proportional to 230,406.40, 318,097.22 and 204,842.16

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Solution

The fourth proportional to 230,406.40, 318,097.22 and 204,842.16 is: 282,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,406.40 : 318,097.22 = 204,842.16 : x
  2. Step 2: Convert to fraction form
    230,406.40/318,097.22 = 204,842.16/x
  3. Step 3: Cross multiply
    230,406.40x = 318,097.22 × 204,842.16
  4. Step 4: Simplify right side
    230,406.40x = 65,159,721,634.80
  5. Step 5: Solve for x
    x = 65,159,721,634.80/230,406.40
  6. Step 6: Final answer
    x = 282,803.44

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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.