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Finding the Fourth Proportional to 338,969.92, 508,441.56 and 102,306.16

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Solution

The fourth proportional to 338,969.92, 508,441.56 and 102,306.16 is: 153,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,969.92 : 508,441.56 = 102,306.16 : x
  2. Step 2: Convert to fraction form
    338,969.92/508,441.56 = 102,306.16/x
  3. Step 3: Cross multiply
    338,969.92x = 508,441.56 × 102,306.16
  4. Step 4: Simplify right side
    338,969.92x = 52,016,703,588.01
  5. Step 5: Solve for x
    x = 52,016,703,588.01/338,969.92
  6. Step 6: Final answer
    x = 153,455.22

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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.