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Finding the Fourth Proportional to 513,505.14, 708,398.29 and 332,275.57

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Solution

The fourth proportional to 513,505.14, 708,398.29 and 332,275.57 is: 458,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,505.14 : 708,398.29 = 332,275.57 : x
  2. Step 2: Convert to fraction form
    513,505.14/708,398.29 = 332,275.57/x
  3. Step 3: Cross multiply
    513,505.14x = 708,398.29 × 332,275.57
  4. Step 4: Simplify right side
    513,505.14x = 235,383,444,241.12
  5. Step 5: Solve for x
    x = 235,383,444,241.12/513,505.14
  6. Step 6: Final answer
    x = 458,385.76

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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.