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Finding the Fourth Proportional to 416,251.23, 573,947.82 and 307,512.90

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Solution

The fourth proportional to 416,251.23, 573,947.82 and 307,512.90 is: 424,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,251.23 : 573,947.82 = 307,512.90 : x
  2. Step 2: Convert to fraction form
    416,251.23/573,947.82 = 307,512.90/x
  3. Step 3: Cross multiply
    416,251.23x = 573,947.82 × 307,512.90
  4. Step 4: Simplify right side
    416,251.23x = 176,496,358,576.88
  5. Step 5: Solve for x
    x = 176,496,358,576.88/416,251.23
  6. Step 6: Final answer
    x = 424,014.02

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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.