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Finding the Fourth Proportional to 359,825.40, 496,588.28 and 206,913.30

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Solution

The fourth proportional to 359,825.40, 496,588.28 and 206,913.30 is: 285,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,825.40 : 496,588.28 = 206,913.30 : x
  2. Step 2: Convert to fraction form
    359,825.40/496,588.28 = 206,913.30/x
  3. Step 3: Cross multiply
    359,825.40x = 496,588.28 × 206,913.30
  4. Step 4: Simplify right side
    359,825.40x = 102,750,719,756.12
  5. Step 5: Solve for x
    x = 102,750,719,756.12/359,825.40
  6. Step 6: Final answer
    x = 285,557.16

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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.