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Finding the Fourth Proportional to 466,727.24, 644,955.54 and 381,813.32

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Solution

The fourth proportional to 466,727.24, 644,955.54 and 381,813.32 is: 527,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,727.24 : 644,955.54 = 381,813.32 : x
  2. Step 2: Convert to fraction form
    466,727.24/644,955.54 = 381,813.32/x
  3. Step 3: Cross multiply
    466,727.24x = 644,955.54 × 381,813.32
  4. Step 4: Simplify right side
    466,727.24x = 246,252,615,979.79
  5. Step 5: Solve for x
    x = 246,252,615,979.79/466,727.24
  6. Step 6: Final answer
    x = 527,615.69

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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.