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Finding the Fourth Proportional to 277,174.15, 415,178.03 and 230,518.15

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Solution

The fourth proportional to 277,174.15, 415,178.03 and 230,518.15 is: 345,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,174.15 : 415,178.03 = 230,518.15 : x
  2. Step 2: Convert to fraction form
    277,174.15/415,178.03 = 230,518.15/x
  3. Step 3: Cross multiply
    277,174.15x = 415,178.03 × 230,518.15
  4. Step 4: Simplify right side
    277,174.15x = 95,706,070,243.65
  5. Step 5: Solve for x
    x = 95,706,070,243.65/277,174.15
  6. Step 6: Final answer
    x = 345,292.19

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1.5x scale

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.