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Finding the Fourth Proportional to 309,426.68, 464,146.50 and 99,064.01

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Solution

The fourth proportional to 309,426.68, 464,146.50 and 99,064.01 is: 148,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,426.68 : 464,146.50 = 99,064.01 : x
  2. Step 2: Convert to fraction form
    309,426.68/464,146.50 = 99,064.01/x
  3. Step 3: Cross multiply
    309,426.68x = 464,146.50 × 99,064.01
  4. Step 4: Simplify right side
    309,426.68x = 45,980,215,049.32
  5. Step 5: Solve for x
    x = 45,980,215,049.32/309,426.68
  6. Step 6: Final answer
    x = 148,598.09

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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.