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Finding the Fourth Proportional to 512,790.61, 769,258.80 and 157,834.21

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Solution

The fourth proportional to 512,790.61, 769,258.80 and 157,834.21 is: 236,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,790.61 : 769,258.80 = 157,834.21 : x
  2. Step 2: Convert to fraction form
    512,790.61/769,258.80 = 157,834.21/x
  3. Step 3: Cross multiply
    512,790.61x = 769,258.80 × 157,834.21
  4. Step 4: Simplify right side
    512,790.61x = 121,415,354,983.55
  5. Step 5: Solve for x
    x = 121,415,354,983.55/512,790.61
  6. Step 6: Final answer
    x = 236,773.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.