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Finding the Fourth Proportional to 524,422, 723,702.48 and 298,082.08

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Solution

The fourth proportional to 524,422, 723,702.48 and 298,082.08 is: 411,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,422 : 723,702.48 = 298,082.08 : x
  2. Step 2: Convert to fraction form
    524,422/723,702.48 = 298,082.08/x
  3. Step 3: Cross multiply
    524,422x = 723,702.48 × 298,082.08
  4. Step 4: Simplify right side
    524,422x = 215,722,740,539.56
  5. Step 5: Solve for x
    x = 215,722,740,539.56/524,422
  6. Step 6: Final answer
    x = 411,353.34

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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.