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Finding the Fourth Proportional to 410,156.40, 614,250.45 and 199,548.30

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Solution

The fourth proportional to 410,156.40, 614,250.45 and 199,548.30 is: 298,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,156.40 : 614,250.45 = 199,548.30 : x
  2. Step 2: Convert to fraction form
    410,156.40/614,250.45 = 199,548.30/x
  3. Step 3: Cross multiply
    410,156.40x = 614,250.45 × 199,548.30
  4. Step 4: Simplify right side
    410,156.40x = 122,572,633,071.74
  5. Step 5: Solve for x
    x = 122,572,633,071.74/410,156.40
  6. Step 6: Final answer
    x = 298,843.64

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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.