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Finding the Fourth Proportional to 359,484.16, 496,103.97 and 206,570.32

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Solution

The fourth proportional to 359,484.16, 496,103.97 and 206,570.32 is: 285,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,484.16 : 496,103.97 = 206,570.32 : x
  2. Step 2: Convert to fraction form
    359,484.16/496,103.97 = 206,570.32/x
  3. Step 3: Cross multiply
    359,484.16x = 496,103.97 × 206,570.32
  4. Step 4: Simplify right side
    359,484.16x = 102,480,355,836.17
  5. Step 5: Solve for x
    x = 102,480,355,836.17/359,484.16
  6. Step 6: Final answer
    x = 285,076.14

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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.