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Finding the Fourth Proportional to 273,590.74, 410,530.57 and 194,142.10

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Solution

The fourth proportional to 273,590.74, 410,530.57 and 194,142.10 is: 291,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,590.74 : 410,530.57 = 194,142.10 : x
  2. Step 2: Convert to fraction form
    273,590.74/410,530.57 = 194,142.10/x
  3. Step 3: Cross multiply
    273,590.74x = 410,530.57 × 194,142.10
  4. Step 4: Simplify right side
    273,590.74x = 79,701,266,974.00
  5. Step 5: Solve for x
    x = 79,701,266,974.00/273,590.74
  6. Step 6: Final answer
    x = 291,315.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.