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Finding the Fourth Proportional to 323,732.16, 446,822.08 and 210,358.08

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Solution

The fourth proportional to 323,732.16, 446,822.08 and 210,358.08 is: 290,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,732.16 : 446,822.08 = 210,358.08 : x
  2. Step 2: Convert to fraction form
    323,732.16/446,822.08 = 210,358.08/x
  3. Step 3: Cross multiply
    323,732.16x = 446,822.08 × 210,358.08
  4. Step 4: Simplify right side
    323,732.16x = 93,992,634,850.41
  5. Step 5: Solve for x
    x = 93,992,634,850.41/323,732.16
  6. Step 6: Final answer
    x = 290,340.74

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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.