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Finding the Fourth Proportional to 512,354.16, 707,023.08 and 285,955.92

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Solution

The fourth proportional to 512,354.16, 707,023.08 and 285,955.92 is: 394,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,354.16 : 707,023.08 = 285,955.92 : x
  2. Step 2: Convert to fraction form
    512,354.16/707,023.08 = 285,955.92/x
  3. Step 3: Cross multiply
    512,354.16x = 707,023.08 × 285,955.92
  4. Step 4: Simplify right side
    512,354.16x = 202,177,435,302.63
  5. Step 5: Solve for x
    x = 202,177,435,302.63/512,354.16
  6. Step 6: Final answer
    x = 394,604.85

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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.