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Finding the Fourth Proportional to 307,722.90, 461,538.18 and 97,333.50

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Solution

The fourth proportional to 307,722.90, 461,538.18 and 97,333.50 is: 145,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,722.90 : 461,538.18 = 97,333.50 : x
  2. Step 2: Convert to fraction form
    307,722.90/461,538.18 = 97,333.50/x
  3. Step 3: Cross multiply
    307,722.90x = 461,538.18 × 97,333.50
  4. Step 4: Simplify right side
    307,722.90x = 44,923,126,443.03
  5. Step 5: Solve for x
    x = 44,923,126,443.03/307,722.90
  6. Step 6: Final answer
    x = 145,985.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.