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Finding the Fourth Proportional to 513,506.20, 708,399.76 and 332,276.63

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Solution

The fourth proportional to 513,506.20, 708,399.76 and 332,276.63 is: 458,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,506.20 : 708,399.76 = 332,276.63 : x
  2. Step 2: Convert to fraction form
    513,506.20/708,399.76 = 332,276.63/x
  3. Step 3: Cross multiply
    513,506.20x = 708,399.76 × 332,276.63
  4. Step 4: Simplify right side
    513,506.20x = 235,384,683,284.23
  5. Step 5: Solve for x
    x = 235,384,683,284.23/513,506.20
  6. Step 6: Final answer
    x = 458,387.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.