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Finding the Fourth Proportional to 523,580.52, 784,644.12 and 238,574.55

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Solution

The fourth proportional to 523,580.52, 784,644.12 and 238,574.55 is: 357,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,580.52 : 784,644.12 = 238,574.55 : x
  2. Step 2: Convert to fraction form
    523,580.52/784,644.12 = 238,574.55/x
  3. Step 3: Cross multiply
    523,580.52x = 784,644.12 × 238,574.55
  4. Step 4: Simplify right side
    523,580.52x = 187,196,117,839.15
  5. Step 5: Solve for x
    x = 187,196,117,839.15/523,580.52
  6. Step 6: Final answer
    x = 357,530.72

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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.