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Finding the Fourth Proportional to 523,143.45, 784,724.28 and 144,062.24

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Solution

The fourth proportional to 523,143.45, 784,724.28 and 144,062.24 is: 216,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,143.45 : 784,724.28 = 144,062.24 : x
  2. Step 2: Convert to fraction form
    523,143.45/784,724.28 = 144,062.24/x
  3. Step 3: Cross multiply
    523,143.45x = 784,724.28 × 144,062.24
  4. Step 4: Simplify right side
    523,143.45x = 113,049,133,635.57
  5. Step 5: Solve for x
    x = 113,049,133,635.57/523,143.45
  6. Step 6: Final answer
    x = 216,095.86

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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.