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Finding the Fourth Proportional to 355,897.69, 491,138.77 and 194,752.75

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Solution

The fourth proportional to 355,897.69, 491,138.77 and 194,752.75 is: 268,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,897.69 : 491,138.77 = 194,752.75 : x
  2. Step 2: Convert to fraction form
    355,897.69/491,138.77 = 194,752.75/x
  3. Step 3: Cross multiply
    355,897.69x = 491,138.77 × 194,752.75
  4. Step 4: Simplify right side
    355,897.69x = 95,650,626,089.12
  5. Step 5: Solve for x
    x = 95,650,626,089.12/355,897.69
  6. Step 6: Final answer
    x = 268,758.77

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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.