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Finding the Fourth Proportional to 469,765.26, 704,672.46 and 132,830.55

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Solution

The fourth proportional to 469,765.26, 704,672.46 and 132,830.55 is: 199,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,765.26 : 704,672.46 = 132,830.55 : x
  2. Step 2: Convert to fraction form
    469,765.26/704,672.46 = 132,830.55/x
  3. Step 3: Cross multiply
    469,765.26x = 704,672.46 × 132,830.55
  4. Step 4: Simplify right side
    469,765.26x = 93,602,030,431.65
  5. Step 5: Solve for x
    x = 93,602,030,431.65/469,765.26
  6. Step 6: Final answer
    x = 199,252.77

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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.