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Finding the Fourth Proportional to 307,958.40, 462,002.40 and 97,617.60

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Solution

The fourth proportional to 307,958.40, 462,002.40 and 97,617.60 is: 146,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,958.40 : 462,002.40 = 97,617.60 : x
  2. Step 2: Convert to fraction form
    307,958.40/462,002.40 = 97,617.60/x
  3. Step 3: Cross multiply
    307,958.40x = 462,002.40 × 97,617.60
  4. Step 4: Simplify right side
    307,958.40x = 45,099,565,482.24
  5. Step 5: Solve for x
    x = 45,099,565,482.24/307,958.40
  6. Step 6: Final answer
    x = 146,446.94

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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.