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Finding the Fourth Proportional to 338,718.29, 508,078.32 and 114,236.42

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Solution

The fourth proportional to 338,718.29, 508,078.32 and 114,236.42 is: 171,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,718.29 : 508,078.32 = 114,236.42 : x
  2. Step 2: Convert to fraction form
    338,718.29/508,078.32 = 114,236.42/x
  3. Step 3: Cross multiply
    338,718.29x = 508,078.32 × 114,236.42
  4. Step 4: Simplify right side
    338,718.29x = 58,041,045,816.02
  5. Step 5: Solve for x
    x = 58,041,045,816.02/338,718.29
  6. Step 6: Final answer
    x = 171,354.92

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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.