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Finding the Fourth Proportional to 276,411.60, 415,054.80 and 209,926.80

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Solution

The fourth proportional to 276,411.60, 415,054.80 and 209,926.80 is: 315,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,411.60 : 415,054.80 = 209,926.80 : x
  2. Step 2: Convert to fraction form
    276,411.60/415,054.80 = 209,926.80/x
  3. Step 3: Cross multiply
    276,411.60x = 415,054.80 × 209,926.80
  4. Step 4: Simplify right side
    276,411.60x = 87,131,125,988.64
  5. Step 5: Solve for x
    x = 87,131,125,988.64/276,411.60
  6. Step 6: Final answer
    x = 315,222.39

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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.