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Finding the Fourth Proportional to 359,653.25, 496,321.49 and 200,677.25

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Solution

The fourth proportional to 359,653.25, 496,321.49 and 200,677.25 is: 276,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,653.25 : 496,321.49 = 200,677.25 : x
  2. Step 2: Convert to fraction form
    359,653.25/496,321.49 = 200,677.25/x
  3. Step 3: Cross multiply
    359,653.25x = 496,321.49 × 200,677.25
  4. Step 4: Simplify right side
    359,653.25x = 99,600,430,725.72
  5. Step 5: Solve for x
    x = 99,600,430,725.72/359,653.25
  6. Step 6: Final answer
    x = 276,934.61

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1.5x scale

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.