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Finding the Fourth Proportional to 276,688.15, 415,032.23 and 276,688.15

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Solution

The fourth proportional to 276,688.15, 415,032.23 and 276,688.15 is: 415,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,688.15 : 415,032.23 = 276,688.15 : x
  2. Step 2: Convert to fraction form
    276,688.15/415,032.23 = 276,688.15/x
  3. Step 3: Cross multiply
    276,688.15x = 415,032.23 × 276,688.15
  4. Step 4: Simplify right side
    276,688.15x = 114,834,498,525.63
  5. Step 5: Solve for x
    x = 114,834,498,525.63/276,688.15
  6. Step 6: Final answer
    x = 415,032.23

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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.