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Finding the Fourth Proportional to 523,589.57, 784,657.62 and 238,583.60

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Solution

The fourth proportional to 523,589.57, 784,657.62 and 238,583.60 is: 357,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,589.57 : 784,657.62 = 238,583.60 : x
  2. Step 2: Convert to fraction form
    523,589.57/784,657.62 = 238,583.60/x
  3. Step 3: Cross multiply
    523,589.57x = 784,657.62 × 238,583.60
  4. Step 4: Simplify right side
    523,589.57x = 187,206,435,823.74
  5. Step 5: Solve for x
    x = 187,206,435,823.74/523,589.57
  6. Step 6: Final answer
    x = 357,544.25

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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.