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Finding the Fourth Proportional to 561,569.27, 774,965.61 and 306,920.46

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Solution

The fourth proportional to 561,569.27, 774,965.61 and 306,920.46 is: 423,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,569.27 : 774,965.61 = 306,920.46 : x
  2. Step 2: Convert to fraction form
    561,569.27/774,965.61 = 306,920.46/x
  3. Step 3: Cross multiply
    561,569.27x = 774,965.61 × 306,920.46
  4. Step 4: Simplify right side
    561,569.27x = 237,852,801,505.38
  5. Step 5: Solve for x
    x = 237,852,801,505.38/561,569.27
  6. Step 6: Final answer
    x = 423,550.25

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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.