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Finding the Fourth Proportional to 513,186.14, 708,023.22 and 332,126.84

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Solution

The fourth proportional to 513,186.14, 708,023.22 and 332,126.84 is: 458,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,186.14 : 708,023.22 = 332,126.84 : x
  2. Step 2: Convert to fraction form
    513,186.14/708,023.22 = 332,126.84/x
  3. Step 3: Cross multiply
    513,186.14x = 708,023.22 × 332,126.84
  4. Step 4: Simplify right side
    513,186.14x = 235,153,514,705.23
  5. Step 5: Solve for x
    x = 235,153,514,705.23/513,186.14
  6. Step 6: Final answer
    x = 458,222.65

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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.