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Finding the Fourth Proportional to 311,585.24, 430,160.56 and 204,312.90

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Solution

The fourth proportional to 311,585.24, 430,160.56 and 204,312.90 is: 282,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,585.24 : 430,160.56 = 204,312.90 : x
  2. Step 2: Convert to fraction form
    311,585.24/430,160.56 = 204,312.90/x
  3. Step 3: Cross multiply
    311,585.24x = 430,160.56 × 204,312.90
  4. Step 4: Simplify right side
    311,585.24x = 87,887,351,479.22
  5. Step 5: Solve for x
    x = 87,887,351,479.22/311,585.24
  6. Step 6: Final answer
    x = 282,065.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.