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Finding the Fourth Proportional to 516,452.34, 774,723.17 and 142,475.34

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Solution

The fourth proportional to 516,452.34, 774,723.17 and 142,475.34 is: 213,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,452.34 : 774,723.17 = 142,475.34 : x
  2. Step 2: Convert to fraction form
    516,452.34/774,723.17 = 142,475.34/x
  3. Step 3: Cross multiply
    516,452.34x = 774,723.17 × 142,475.34
  4. Step 4: Simplify right side
    516,452.34x = 110,378,949,511.60
  5. Step 5: Solve for x
    x = 110,378,949,511.60/516,452.34
  6. Step 6: Final answer
    x = 213,725.33

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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.