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Finding the Fourth Proportional to 410,767.35, 615,600.27 and 319,692.74

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Solution

The fourth proportional to 410,767.35, 615,600.27 and 319,692.74 is: 479,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,767.35 : 615,600.27 = 319,692.74 : x
  2. Step 2: Convert to fraction form
    410,767.35/615,600.27 = 319,692.74/x
  3. Step 3: Cross multiply
    410,767.35x = 615,600.27 × 319,692.74
  4. Step 4: Simplify right side
    410,767.35x = 196,802,933,983.04
  5. Step 5: Solve for x
    x = 196,802,933,983.04/410,767.35
  6. Step 6: Final answer
    x = 479,110.46

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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.