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Finding the Fourth Proportional to 469,698.89, 704,586.33 and 132,742.26

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Solution

The fourth proportional to 469,698.89, 704,586.33 and 132,742.26 is: 199,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,698.89 : 704,586.33 = 132,742.26 : x
  2. Step 2: Convert to fraction form
    469,698.89/704,586.33 = 132,742.26/x
  3. Step 3: Cross multiply
    469,698.89x = 704,586.33 × 132,742.26
  4. Step 4: Simplify right side
    469,698.89x = 93,528,381,809.31
  5. Step 5: Solve for x
    x = 93,528,381,809.31/469,698.89
  6. Step 6: Final answer
    x = 199,124.13

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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.