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Finding the Fourth Proportional to 309,236.64, 463,913.28 and 98,818.08

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Solution

The fourth proportional to 309,236.64, 463,913.28 and 98,818.08 is: 148,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,236.64 : 463,913.28 = 98,818.08 : x
  2. Step 2: Convert to fraction form
    309,236.64/463,913.28 = 98,818.08/x
  3. Step 3: Cross multiply
    309,236.64x = 463,913.28 × 98,818.08
  4. Step 4: Simplify right side
    309,236.64x = 45,843,019,616.10
  5. Step 5: Solve for x
    x = 45,843,019,616.10/309,236.64
  6. Step 6: Final answer
    x = 148,245.76

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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.