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Finding the Fourth Proportional to 464,944.67, 697,174.71 and 165,381.76

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Solution

The fourth proportional to 464,944.67, 697,174.71 and 165,381.76 is: 247,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,944.67 : 697,174.71 = 165,381.76 : x
  2. Step 2: Convert to fraction form
    464,944.67/697,174.71 = 165,381.76/x
  3. Step 3: Cross multiply
    464,944.67x = 697,174.71 × 165,381.76
  4. Step 4: Simplify right side
    464,944.67x = 115,299,980,567.29
  5. Step 5: Solve for x
    x = 115,299,980,567.29/464,944.67
  6. Step 6: Final answer
    x = 247,986.46

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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.