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Finding the Fourth Proportional to 513,768, 708,760.32 and 332,538.24

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Solution

The fourth proportional to 513,768, 708,760.32 and 332,538.24 is: 458,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,768 : 708,760.32 = 332,538.24 : x
  2. Step 2: Convert to fraction form
    513,768/708,760.32 = 332,538.24/x
  3. Step 3: Cross multiply
    513,768x = 708,760.32 × 332,538.24
  4. Step 4: Simplify right side
    513,768x = 235,689,909,394.64
  5. Step 5: Solve for x
    x = 235,689,909,394.64/513,768
  6. Step 6: Final answer
    x = 458,747.74

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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.