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Finding the Fourth Proportional to 464,936.60, 697,404.90 and 329,123.90

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Solution

The fourth proportional to 464,936.60, 697,404.90 and 329,123.90 is: 493,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,936.60 : 697,404.90 = 329,123.90 : x
  2. Step 2: Convert to fraction form
    464,936.60/697,404.90 = 329,123.90/x
  3. Step 3: Cross multiply
    464,936.60x = 697,404.90 × 329,123.90
  4. Step 4: Simplify right side
    464,936.60x = 229,532,620,567.11
  5. Step 5: Solve for x
    x = 229,532,620,567.11/464,936.60
  6. Step 6: Final answer
    x = 493,685.85

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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.