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Finding the Fourth Proportional to 564,738.22, 779,338.75 and 310,089.41

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Solution

The fourth proportional to 564,738.22, 779,338.75 and 310,089.41 is: 427,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,738.22 : 779,338.75 = 310,089.41 : x
  2. Step 2: Convert to fraction form
    564,738.22/779,338.75 = 310,089.41/x
  3. Step 3: Cross multiply
    564,738.22x = 779,338.75 × 310,089.41
  4. Step 4: Simplify right side
    564,738.22x = 241,664,692,009.66
  5. Step 5: Solve for x
    x = 241,664,692,009.66/564,738.22
  6. Step 6: Final answer
    x = 427,923.39

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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.