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Finding the Fourth Proportional to 474,112.33, 654,221.28 and 280,525.98

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Solution

The fourth proportional to 474,112.33, 654,221.28 and 280,525.98 is: 387,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,112.33 : 654,221.28 = 280,525.98 : x
  2. Step 2: Convert to fraction form
    474,112.33/654,221.28 = 280,525.98/x
  3. Step 3: Cross multiply
    474,112.33x = 654,221.28 × 280,525.98
  4. Step 4: Simplify right side
    474,112.33x = 183,526,062,437.75
  5. Step 5: Solve for x
    x = 183,526,062,437.75/474,112.33
  6. Step 6: Final answer
    x = 387,094.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.