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Finding the Fourth Proportional to 276,141.94, 413,548.57 and 157,453.46

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Solution

The fourth proportional to 276,141.94, 413,548.57 and 157,453.46 is: 235,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,141.94 : 413,548.57 = 157,453.46 : x
  2. Step 2: Convert to fraction form
    276,141.94/413,548.57 = 157,453.46/x
  3. Step 3: Cross multiply
    276,141.94x = 413,548.57 × 157,453.46
  4. Step 4: Simplify right side
    276,141.94x = 65,114,653,224.55
  5. Step 5: Solve for x
    x = 65,114,653,224.55/276,141.94
  6. Step 6: Final answer
    x = 235,801.39

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1.5x scale

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.