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Finding the Fourth Proportional to 587,923.29, 881,883 and 161,459.49

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Solution

The fourth proportional to 587,923.29, 881,883 and 161,459.49 is: 242,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,923.29 : 881,883 = 161,459.49 : x
  2. Step 2: Convert to fraction form
    587,923.29/881,883 = 161,459.49/x
  3. Step 3: Cross multiply
    587,923.29x = 881,883 × 161,459.49
  4. Step 4: Simplify right side
    587,923.29x = 142,388,379,419.67
  5. Step 5: Solve for x
    x = 142,388,379,419.67/587,923.29
  6. Step 6: Final answer
    x = 242,188.70

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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.