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Finding the Fourth Proportional to 561,305.32, 774,600.42 and 306,656.44

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Solution

The fourth proportional to 561,305.32, 774,600.42 and 306,656.44 is: 423,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,305.32 : 774,600.42 = 306,656.44 : x
  2. Step 2: Convert to fraction form
    561,305.32/774,600.42 = 306,656.44/x
  3. Step 3: Cross multiply
    561,305.32x = 774,600.42 × 306,656.44
  4. Step 4: Simplify right side
    561,305.32x = 237,536,207,219.71
  5. Step 5: Solve for x
    x = 237,536,207,219.71/561,305.32
  6. Step 6: Final answer
    x = 423,185.38

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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.