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Finding the Fourth Proportional to 523,954.16, 785,274.06 and 224,082.72

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Solution

The fourth proportional to 523,954.16, 785,274.06 and 224,082.72 is: 335,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,954.16 : 785,274.06 = 224,082.72 : x
  2. Step 2: Convert to fraction form
    523,954.16/785,274.06 = 224,082.72/x
  3. Step 3: Cross multiply
    523,954.16x = 785,274.06 × 224,082.72
  4. Step 4: Simplify right side
    523,954.16x = 175,966,347,310.24
  5. Step 5: Solve for x
    x = 175,966,347,310.24/523,954.16
  6. Step 6: Final answer
    x = 335,843.02

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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.