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Finding the Fourth Proportional to 523,957.52, 785,278.56 and 224,085.36

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Solution

The fourth proportional to 523,957.52, 785,278.56 and 224,085.36 is: 335,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,957.52 : 785,278.56 = 224,085.36 : x
  2. Step 2: Convert to fraction form
    523,957.52/785,278.56 = 224,085.36/x
  3. Step 3: Cross multiply
    523,957.52x = 785,278.56 × 224,085.36
  4. Step 4: Simplify right side
    523,957.52x = 175,969,428,817.88
  5. Step 5: Solve for x
    x = 175,969,428,817.88/523,957.52
  6. Step 6: Final answer
    x = 335,846.75

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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.