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Finding the Fourth Proportional to 359,518.94, 496,165.90 and 206,586.84

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Solution

The fourth proportional to 359,518.94, 496,165.90 and 206,586.84 is: 285,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,518.94 : 496,165.90 = 206,586.84 : x
  2. Step 2: Convert to fraction form
    359,518.94/496,165.90 = 206,586.84/x
  3. Step 3: Cross multiply
    359,518.94x = 496,165.90 × 206,586.84
  4. Step 4: Simplify right side
    359,518.94x = 102,501,342,915.93
  5. Step 5: Solve for x
    x = 102,501,342,915.93/359,518.94
  6. Step 6: Final answer
    x = 285,106.94

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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.