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Finding the Fourth Proportional to 564,496.92, 778,977.32 and 335,064.22

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Solution

The fourth proportional to 564,496.92, 778,977.32 and 335,064.22 is: 462,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,496.92 : 778,977.32 = 335,064.22 : x
  2. Step 2: Convert to fraction form
    564,496.92/778,977.32 = 335,064.22/x
  3. Step 3: Cross multiply
    564,496.92x = 778,977.32 × 335,064.22
  4. Step 4: Simplify right side
    564,496.92x = 261,007,428,123.49
  5. Step 5: Solve for x
    x = 261,007,428,123.49/564,496.92
  6. Step 6: Final answer
    x = 462,371.75

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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.