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Finding the Fourth Proportional to 523,576.77, 784,638.48 and 238,570.80

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Solution

The fourth proportional to 523,576.77, 784,638.48 and 238,570.80 is: 357,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,576.77 : 784,638.48 = 238,570.80 : x
  2. Step 2: Convert to fraction form
    523,576.77/784,638.48 = 238,570.80/x
  3. Step 3: Cross multiply
    523,576.77x = 784,638.48 × 238,570.80
  4. Step 4: Simplify right side
    523,576.77x = 187,191,829,884.38
  5. Step 5: Solve for x
    x = 187,191,829,884.38/523,576.77
  6. Step 6: Final answer
    x = 357,525.09

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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.