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Finding the Fourth Proportional to 469,774.76, 704,636.98 and 166,147.88

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Solution

The fourth proportional to 469,774.76, 704,636.98 and 166,147.88 is: 249,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,774.76 : 704,636.98 = 166,147.88 : x
  2. Step 2: Convert to fraction form
    469,774.76/704,636.98 = 166,147.88/x
  3. Step 3: Cross multiply
    469,774.76x = 704,636.98 × 166,147.88
  4. Step 4: Simplify right side
    469,774.76x = 117,073,940,396.60
  5. Step 5: Solve for x
    x = 117,073,940,396.60/469,774.76
  6. Step 6: Final answer
    x = 249,212.92

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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.