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Finding the Fourth Proportional to 564,195.11, 778,641.98 and 322,430.46

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Solution

The fourth proportional to 564,195.11, 778,641.98 and 322,430.46 is: 444,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,195.11 : 778,641.98 = 322,430.46 : x
  2. Step 2: Convert to fraction form
    564,195.11/778,641.98 = 322,430.46/x
  3. Step 3: Cross multiply
    564,195.11x = 778,641.98 × 322,430.46
  4. Step 4: Simplify right side
    564,195.11x = 251,057,890,174.56
  5. Step 5: Solve for x
    x = 251,057,890,174.56/564,195.11
  6. Step 6: Final answer
    x = 444,984.17

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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.