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Finding the Fourth Proportional to 359,842.48, 496,582.65 and 198,697.84

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Solution

The fourth proportional to 359,842.48, 496,582.65 and 198,697.84 is: 274,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,842.48 : 496,582.65 = 198,697.84 : x
  2. Step 2: Convert to fraction form
    359,842.48/496,582.65 = 198,697.84/x
  3. Step 3: Cross multiply
    359,842.48x = 496,582.65 × 198,697.84
  4. Step 4: Simplify right side
    359,842.48x = 98,669,899,936.48
  5. Step 5: Solve for x
    x = 98,669,899,936.48/359,842.48
  6. Step 6: Final answer
    x = 274,203.03

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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.