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Finding the Fourth Proportional to 359,798.40, 496,537.92 and 206,886.24

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Solution

The fourth proportional to 359,798.40, 496,537.92 and 206,886.24 is: 285,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,798.40 : 496,537.92 = 206,886.24 : x
  2. Step 2: Convert to fraction form
    359,798.40/496,537.92 = 206,886.24/x
  3. Step 3: Cross multiply
    359,798.40x = 496,537.92 × 206,886.24
  4. Step 4: Simplify right side
    359,798.40x = 102,726,863,286.22
  5. Step 5: Solve for x
    x = 102,726,863,286.22/359,798.40
  6. Step 6: Final answer
    x = 285,512.28

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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.