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Finding the Fourth Proportional to 564,961.92, 779,783.16 and 323,384.52

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Solution

The fourth proportional to 564,961.92, 779,783.16 and 323,384.52 is: 446,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,961.92 : 779,783.16 = 323,384.52 : x
  2. Step 2: Convert to fraction form
    564,961.92/779,783.16 = 323,384.52/x
  3. Step 3: Cross multiply
    564,961.92x = 779,783.16 × 323,384.52
  4. Step 4: Simplify right side
    564,961.92x = 252,169,802,900.68
  5. Step 5: Solve for x
    x = 252,169,802,900.68/564,961.92
  6. Step 6: Final answer
    x = 446,348.32

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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.