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Finding the Fourth Proportional to 561,499.65, 774,869.88 and 306,850.86

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Solution

The fourth proportional to 561,499.65, 774,869.88 and 306,850.86 is: 423,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,499.65 : 774,869.88 = 306,850.86 : x
  2. Step 2: Convert to fraction form
    561,499.65/774,869.88 = 306,850.86/x
  3. Step 3: Cross multiply
    561,499.65x = 774,869.88 × 306,850.86
  4. Step 4: Simplify right side
    561,499.65x = 237,769,489,066.10
  5. Step 5: Solve for x
    x = 237,769,489,066.10/561,499.65
  6. Step 6: Final answer
    x = 423,454.39

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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.