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Finding the Fourth Proportional to 307,635.20, 461,366.40 and 97,337.60

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Solution

The fourth proportional to 307,635.20, 461,366.40 and 97,337.60 is: 145,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,635.20 : 461,366.40 = 97,337.60 : x
  2. Step 2: Convert to fraction form
    307,635.20/461,366.40 = 97,337.60/x
  3. Step 3: Cross multiply
    307,635.20x = 461,366.40 × 97,337.60
  4. Step 4: Simplify right side
    307,635.20x = 44,908,298,096.64
  5. Step 5: Solve for x
    x = 44,908,298,096.64/307,635.20
  6. Step 6: Final answer
    x = 145,979.06

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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.