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Finding the Fourth Proportional to 468,358.02, 646,349.72 and 287,034.92

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Solution

The fourth proportional to 468,358.02, 646,349.72 and 287,034.92 is: 396,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,358.02 : 646,349.72 = 287,034.92 : x
  2. Step 2: Convert to fraction form
    468,358.02/646,349.72 = 287,034.92/x
  3. Step 3: Cross multiply
    468,358.02x = 646,349.72 × 287,034.92
  4. Step 4: Simplify right side
    468,358.02x = 185,524,935,505.30
  5. Step 5: Solve for x
    x = 185,524,935,505.30/468,358.02
  6. Step 6: Final answer
    x = 396,117.77

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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.