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Finding the Fourth Proportional to 523,738.56, 785,464.46 and 144,568.65

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Solution

The fourth proportional to 523,738.56, 785,464.46 and 144,568.65 is: 216,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,738.56 : 785,464.46 = 144,568.65 : x
  2. Step 2: Convert to fraction form
    523,738.56/785,464.46 = 144,568.65/x
  3. Step 3: Cross multiply
    523,738.56x = 785,464.46 × 144,568.65
  4. Step 4: Simplify right side
    523,738.56x = 113,553,536,966.60
  5. Step 5: Solve for x
    x = 113,553,536,966.60/523,738.56
  6. Step 6: Final answer
    x = 216,813.40

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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.