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Finding the Fourth Proportional to 552,705, 827,341.30 and 299,356.24

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Solution

The fourth proportional to 552,705, 827,341.30 and 299,356.24 is: 448,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,705 : 827,341.30 = 299,356.24 : x
  2. Step 2: Convert to fraction form
    552,705/827,341.30 = 299,356.24/x
  3. Step 3: Cross multiply
    552,705x = 827,341.30 × 299,356.24
  4. Step 4: Simplify right side
    552,705x = 247,669,780,764.71
  5. Step 5: Solve for x
    x = 247,669,780,764.71/552,705
  6. Step 6: Final answer
    x = 448,104.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.