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Finding the Fourth Proportional to 277,034.10, 414,514.35 and 183,722.10

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Solution

The fourth proportional to 277,034.10, 414,514.35 and 183,722.10 is: 274,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,034.10 : 414,514.35 = 183,722.10 : x
  2. Step 2: Convert to fraction form
    277,034.10/414,514.35 = 183,722.10/x
  3. Step 3: Cross multiply
    277,034.10x = 414,514.35 × 183,722.10
  4. Step 4: Simplify right side
    277,034.10x = 76,155,446,862.14
  5. Step 5: Solve for x
    x = 76,155,446,862.14/277,034.10
  6. Step 6: Final answer
    x = 274,895.57

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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.