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Finding the Fourth Proportional to 359,528.47, 496,132.70 and 206,458.98

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Solution

The fourth proportional to 359,528.47, 496,132.70 and 206,458.98 is: 284,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,528.47 : 496,132.70 = 206,458.98 : x
  2. Step 2: Convert to fraction form
    359,528.47/496,132.70 = 206,458.98/x
  3. Step 3: Cross multiply
    359,528.47x = 496,132.70 × 206,458.98
  4. Step 4: Simplify right side
    359,528.47x = 102,431,048,293.85
  5. Step 5: Solve for x
    x = 102,431,048,293.85/359,528.47
  6. Step 6: Final answer
    x = 284,903.86

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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.