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Finding the Fourth Proportional to 359,431.83, 496,019.70 and 198,292.86

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Solution

The fourth proportional to 359,431.83, 496,019.70 and 198,292.86 is: 273,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,431.83 : 496,019.70 = 198,292.86 : x
  2. Step 2: Convert to fraction form
    359,431.83/496,019.70 = 198,292.86/x
  3. Step 3: Cross multiply
    359,431.83x = 496,019.70 × 198,292.86
  4. Step 4: Simplify right side
    359,431.83x = 98,357,164,929.34
  5. Step 5: Solve for x
    x = 98,357,164,929.34/359,431.83
  6. Step 6: Final answer
    x = 273,646.23

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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.