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Finding the Fourth Proportional to 277,655.40, 416,634.30 and 151,288.20

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Solution

The fourth proportional to 277,655.40, 416,634.30 and 151,288.20 is: 227,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,655.40 : 416,634.30 = 151,288.20 : x
  2. Step 2: Convert to fraction form
    277,655.40/416,634.30 = 151,288.20/x
  3. Step 3: Cross multiply
    277,655.40x = 416,634.30 × 151,288.20
  4. Step 4: Simplify right side
    277,655.40x = 63,031,853,305.26
  5. Step 5: Solve for x
    x = 63,031,853,305.26/277,655.40
  6. Step 6: Final answer
    x = 227,014.69

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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.