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Finding the Fourth Proportional to 359,607.88, 496,242.06 and 206,538.40

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Solution

The fourth proportional to 359,607.88, 496,242.06 and 206,538.40 is: 285,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,607.88 : 496,242.06 = 206,538.40 : x
  2. Step 2: Convert to fraction form
    359,607.88/496,242.06 = 206,538.40/x
  3. Step 3: Cross multiply
    359,607.88x = 496,242.06 × 206,538.40
  4. Step 4: Simplify right side
    359,607.88x = 102,493,041,085.10
  5. Step 5: Solve for x
    x = 102,493,041,085.10/359,607.88
  6. Step 6: Final answer
    x = 285,013.33

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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.