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Finding the Fourth Proportional to 359,743.84, 496,433.46 and 198,595.42

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Solution

The fourth proportional to 359,743.84, 496,433.46 and 198,595.42 is: 274,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,743.84 : 496,433.46 = 198,595.42 : x
  2. Step 2: Convert to fraction form
    359,743.84/496,433.46 = 198,595.42/x
  3. Step 3: Cross multiply
    359,743.84x = 496,433.46 × 198,595.42
  4. Step 4: Simplify right side
    359,743.84x = 98,589,411,490.75
  5. Step 5: Solve for x
    x = 98,589,411,490.75/359,743.84
  6. Step 6: Final answer
    x = 274,054.48

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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.