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Finding the Fourth Proportional to 564,758.25, 779,371.86 and 310,114.91

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Solution

The fourth proportional to 564,758.25, 779,371.86 and 310,114.91 is: 427,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,758.25 : 779,371.86 = 310,114.91 : x
  2. Step 2: Convert to fraction form
    564,758.25/779,371.86 = 310,114.91/x
  3. Step 3: Cross multiply
    564,758.25x = 779,371.86 × 310,114.91
  4. Step 4: Simplify right side
    564,758.25x = 241,694,834,220.43
  5. Step 5: Solve for x
    x = 241,694,834,220.43/564,758.25
  6. Step 6: Final answer
    x = 427,961.58

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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.