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Finding the Fourth Proportional to 518,859, 716,026.38 and 280,395

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Solution

The fourth proportional to 518,859, 716,026.38 and 280,395 is: 386,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,859 : 716,026.38 = 280,395 : x
  2. Step 2: Convert to fraction form
    518,859/716,026.38 = 280,395/x
  3. Step 3: Cross multiply
    518,859x = 716,026.38 × 280,395
  4. Step 4: Simplify right side
    518,859x = 200,770,216,820.10
  5. Step 5: Solve for x
    x = 200,770,216,820.10/518,859
  6. Step 6: Final answer
    x = 386,945.62

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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.