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Finding the Fourth Proportional to 513,503.45, 708,395.96 and 332,273.88

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Solution

The fourth proportional to 513,503.45, 708,395.96 and 332,273.88 is: 458,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,503.45 : 708,395.96 = 332,273.88 : x
  2. Step 2: Convert to fraction form
    513,503.45/708,395.96 = 332,273.88/x
  3. Step 3: Cross multiply
    513,503.45x = 708,395.96 × 332,273.88
  4. Step 4: Simplify right side
    513,503.45x = 235,381,475,036.21
  5. Step 5: Solve for x
    x = 235,381,475,036.21/513,503.45
  6. Step 6: Final answer
    x = 458,383.44

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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.