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Finding the Fourth Proportional to 523,204, 722,277.52 and 351,060.40

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Solution

The fourth proportional to 523,204, 722,277.52 and 351,060.40 is: 484,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,204 : 722,277.52 = 351,060.40 : x
  2. Step 2: Convert to fraction form
    523,204/722,277.52 = 351,060.40/x
  3. Step 3: Cross multiply
    523,204x = 722,277.52 × 351,060.40
  4. Step 4: Simplify right side
    523,204x = 253,563,035,082.21
  5. Step 5: Solve for x
    x = 253,563,035,082.21/523,204
  6. Step 6: Final answer
    x = 484,635.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.