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Finding the Fourth Proportional to 523,885.19, 785,170.26 and 224,013.06

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Solution

The fourth proportional to 523,885.19, 785,170.26 and 224,013.06 is: 335,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,885.19 : 785,170.26 = 224,013.06 : x
  2. Step 2: Convert to fraction form
    523,885.19/785,170.26 = 224,013.06/x
  3. Step 3: Cross multiply
    523,885.19x = 785,170.26 × 224,013.06
  4. Step 4: Simplify right side
    523,885.19x = 175,888,392,563.60
  5. Step 5: Solve for x
    x = 175,888,392,563.60/523,885.19
  6. Step 6: Final answer
    x = 335,738.44

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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.