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Finding the Fourth Proportional to 359,908.04, 496,673.14 and 200,932.04

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Solution

The fourth proportional to 359,908.04, 496,673.14 and 200,932.04 is: 277,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,908.04 : 496,673.14 = 200,932.04 : x
  2. Step 2: Convert to fraction form
    359,908.04/496,673.14 = 200,932.04/x
  3. Step 3: Cross multiply
    359,908.04x = 496,673.14 × 200,932.04
  4. Step 4: Simplify right side
    359,908.04x = 99,797,547,233.41
  5. Step 5: Solve for x
    x = 99,797,547,233.41/359,908.04
  6. Step 6: Final answer
    x = 277,286.24

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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.