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Finding the Fourth Proportional to 255,094.40, 382,180.80 and 225,603.20

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Solution

The fourth proportional to 255,094.40, 382,180.80 and 225,603.20 is: 337,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,094.40 : 382,180.80 = 225,603.20 : x
  2. Step 2: Convert to fraction form
    255,094.40/382,180.80 = 225,603.20/x
  3. Step 3: Cross multiply
    255,094.40x = 382,180.80 × 225,603.20
  4. Step 4: Simplify right side
    255,094.40x = 86,221,211,458.56
  5. Step 5: Solve for x
    x = 86,221,211,458.56/255,094.40
  6. Step 6: Final answer
    x = 337,997.27

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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.