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Finding the Fourth Proportional to 519,162.30, 716,494.14 and 315,165.96

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Solution

The fourth proportional to 519,162.30, 716,494.14 and 315,165.96 is: 434,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,162.30 : 716,494.14 = 315,165.96 : x
  2. Step 2: Convert to fraction form
    519,162.30/716,494.14 = 315,165.96/x
  3. Step 3: Cross multiply
    519,162.30x = 716,494.14 × 315,165.96
  4. Step 4: Simplify right side
    519,162.30x = 225,814,563,467.47
  5. Step 5: Solve for x
    x = 225,814,563,467.47/519,162.30
  6. Step 6: Final answer
    x = 434,959.48

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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.