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Finding the Fourth Proportional to 277,114.40, 415,088.40 and 230,458.40

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Solution

The fourth proportional to 277,114.40, 415,088.40 and 230,458.40 is: 345,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,114.40 : 415,088.40 = 230,458.40 : x
  2. Step 2: Convert to fraction form
    277,114.40/415,088.40 = 230,458.40/x
  3. Step 3: Cross multiply
    277,114.40x = 415,088.40 × 230,458.40
  4. Step 4: Simplify right side
    277,114.40x = 95,660,608,522.56
  5. Step 5: Solve for x
    x = 95,660,608,522.56/277,114.40
  6. Step 6: Final answer
    x = 345,202.59

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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.