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Finding the Fourth Proportional to 468,977.52, 647,150.64 and 265,045.92

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Solution

The fourth proportional to 468,977.52, 647,150.64 and 265,045.92 is: 365,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,977.52 : 647,150.64 = 265,045.92 : x
  2. Step 2: Convert to fraction form
    468,977.52/647,150.64 = 265,045.92/x
  3. Step 3: Cross multiply
    468,977.52x = 647,150.64 × 265,045.92
  4. Step 4: Simplify right side
    468,977.52x = 171,524,636,757.39
  5. Step 5: Solve for x
    x = 171,524,636,757.39/468,977.52
  6. Step 6: Final answer
    x = 365,741.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.