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Finding the Fourth Proportional to 513,443.62, 708,316.45 and 332,214.63

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Solution

The fourth proportional to 513,443.62, 708,316.45 and 332,214.63 is: 458,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,443.62 : 708,316.45 = 332,214.63 : x
  2. Step 2: Convert to fraction form
    513,443.62/708,316.45 = 332,214.63/x
  3. Step 3: Cross multiply
    513,443.62x = 708,316.45 × 332,214.63
  4. Step 4: Simplify right side
    513,443.62x = 235,313,087,359.66
  5. Step 5: Solve for x
    x = 235,313,087,359.66/513,443.62
  6. Step 6: Final answer
    x = 458,303.65

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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.