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Finding the Fourth Proportional to 384,278.68, 576,419.71 and 159,638.93

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Solution

The fourth proportional to 384,278.68, 576,419.71 and 159,638.93 is: 239,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,278.68 : 576,419.71 = 159,638.93 : x
  2. Step 2: Convert to fraction form
    384,278.68/576,419.71 = 159,638.93/x
  3. Step 3: Cross multiply
    384,278.68x = 576,419.71 × 159,638.93
  4. Step 4: Simplify right side
    384,278.68x = 92,019,025,735.31
  5. Step 5: Solve for x
    x = 92,019,025,735.31/384,278.68
  6. Step 6: Final answer
    x = 239,459.10

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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.