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Finding the Fourth Proportional to 561,124.69, 774,356.18 and 306,475.88

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Solution

The fourth proportional to 561,124.69, 774,356.18 and 306,475.88 is: 422,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,124.69 : 774,356.18 = 306,475.88 : x
  2. Step 2: Convert to fraction form
    561,124.69/774,356.18 = 306,475.88/x
  3. Step 3: Cross multiply
    561,124.69x = 774,356.18 × 306,475.88
  4. Step 4: Simplify right side
    561,124.69x = 237,321,486,294.78
  5. Step 5: Solve for x
    x = 237,321,486,294.78/561,124.69
  6. Step 6: Final answer
    x = 422,938.95

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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.