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Finding the Fourth Proportional to 469,516.86, 704,262.74 and 132,580.76

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Solution

The fourth proportional to 469,516.86, 704,262.74 and 132,580.76 is: 198,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,516.86 : 704,262.74 = 132,580.76 : x
  2. Step 2: Convert to fraction form
    469,516.86/704,262.74 = 132,580.76/x
  3. Step 3: Cross multiply
    469,516.86x = 704,262.74 × 132,580.76
  4. Step 4: Simplify right side
    469,516.86x = 93,371,685,124.66
  5. Step 5: Solve for x
    x = 93,371,685,124.66/469,516.86
  6. Step 6: Final answer
    x = 198,867.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.