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Finding the Fourth Proportional to 564,850.50, 779,507.24 and 310,207.15

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Solution

The fourth proportional to 564,850.50, 779,507.24 and 310,207.15 is: 428,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,850.50 : 779,507.24 = 310,207.15 : x
  2. Step 2: Convert to fraction form
    564,850.50/779,507.24 = 310,207.15/x
  3. Step 3: Cross multiply
    564,850.50x = 779,507.24 × 310,207.15
  4. Step 4: Simplify right side
    564,850.50x = 241,808,719,324.77
  5. Step 5: Solve for x
    x = 241,808,719,324.77/564,850.50
  6. Step 6: Final answer
    x = 428,093.31

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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.