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Finding the Fourth Proportional to 384,066.40, 576,099.60 and 337,410.40

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Solution

The fourth proportional to 384,066.40, 576,099.60 and 337,410.40 is: 506,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,066.40 : 576,099.60 = 337,410.40 : x
  2. Step 2: Convert to fraction form
    384,066.40/576,099.60 = 337,410.40/x
  3. Step 3: Cross multiply
    384,066.40x = 576,099.60 × 337,410.40
  4. Step 4: Simplify right side
    384,066.40x = 194,381,996,475.84
  5. Step 5: Solve for x
    x = 194,381,996,475.84/384,066.40
  6. Step 6: Final answer
    x = 506,115.60

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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.