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Finding the Fourth Proportional to 564,523.22, 846,777.48 and 138,062.75

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Solution

The fourth proportional to 564,523.22, 846,777.48 and 138,062.75 is: 207,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,523.22 : 846,777.48 = 138,062.75 : x
  2. Step 2: Convert to fraction form
    564,523.22/846,777.48 = 138,062.75/x
  3. Step 3: Cross multiply
    564,523.22x = 846,777.48 × 138,062.75
  4. Step 4: Simplify right side
    564,523.22x = 116,908,423,292.98
  5. Step 5: Solve for x
    x = 116,908,423,292.98/564,523.22
  6. Step 6: Final answer
    x = 207,092.32

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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.