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Finding the Fourth Proportional to 523,431.64, 784,718.37 and 186,280.31

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Solution

The fourth proportional to 523,431.64, 784,718.37 and 186,280.31 is: 279,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,431.64 : 784,718.37 = 186,280.31 : x
  2. Step 2: Convert to fraction form
    523,431.64/784,718.37 = 186,280.31/x
  3. Step 3: Cross multiply
    523,431.64x = 784,718.37 × 186,280.31
  4. Step 4: Simplify right side
    523,431.64x = 146,177,576,371.30
  5. Step 5: Solve for x
    x = 146,177,576,371.30/523,431.64
  6. Step 6: Final answer
    x = 279,267.75

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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.