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Finding the Fourth Proportional to 359,421.93, 496,002.78 and 198,276.66

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Solution

The fourth proportional to 359,421.93, 496,002.78 and 198,276.66 is: 273,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,421.93 : 496,002.78 = 198,276.66 : x
  2. Step 2: Convert to fraction form
    359,421.93/496,002.78 = 198,276.66/x
  3. Step 3: Cross multiply
    359,421.93x = 496,002.78 × 198,276.66
  4. Step 4: Simplify right side
    359,421.93x = 98,345,774,569.11
  5. Step 5: Solve for x
    x = 98,345,774,569.11/359,421.93
  6. Step 6: Final answer
    x = 273,622.08

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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.