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Finding the Fourth Proportional to 359,486.16, 496,089.48 and 198,351.24

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Solution

The fourth proportional to 359,486.16, 496,089.48 and 198,351.24 is: 273,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,486.16 : 496,089.48 = 198,351.24 : x
  2. Step 2: Convert to fraction form
    359,486.16/496,089.48 = 198,351.24/x
  3. Step 3: Cross multiply
    359,486.16x = 496,089.48 × 198,351.24
  4. Step 4: Simplify right side
    359,486.16x = 98,399,963,508.96
  5. Step 5: Solve for x
    x = 98,399,963,508.96/359,486.16
  6. Step 6: Final answer
    x = 273,723.93

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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.