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Finding the Fourth Proportional to 276,775.68, 415,294.74 and 164,677.44

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Solution

The fourth proportional to 276,775.68, 415,294.74 and 164,677.44 is: 247,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,775.68 : 415,294.74 = 164,677.44 : x
  2. Step 2: Convert to fraction form
    276,775.68/415,294.74 = 164,677.44/x
  3. Step 3: Cross multiply
    276,775.68x = 415,294.74 × 164,677.44
  4. Step 4: Simplify right side
    276,775.68x = 68,389,674,628.67
  5. Step 5: Solve for x
    x = 68,389,674,628.67/276,775.68
  6. Step 6: Final answer
    x = 247,094.23

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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.