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Finding the Fourth Proportional to 424,098.27, 585,256.05 and 233,107.56

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Solution

The fourth proportional to 424,098.27, 585,256.05 and 233,107.56 is: 321,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098.27 : 585,256.05 = 233,107.56 : x
  2. Step 2: Convert to fraction form
    424,098.27/585,256.05 = 233,107.56/x
  3. Step 3: Cross multiply
    424,098.27x = 585,256.05 × 233,107.56
  4. Step 4: Simplify right side
    424,098.27x = 136,427,609,790.74
  5. Step 5: Solve for x
    x = 136,427,609,790.74/424,098.27
  6. Step 6: Final answer
    x = 321,688.67

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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.