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Finding the Fourth Proportional to 478,042.62, 716,896.62 and 140,993.76

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Solution

The fourth proportional to 478,042.62, 716,896.62 and 140,993.76 is: 211,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,042.62 : 716,896.62 = 140,993.76 : x
  2. Step 2: Convert to fraction form
    478,042.62/716,896.62 = 140,993.76/x
  3. Step 3: Cross multiply
    478,042.62x = 716,896.62 × 140,993.76
  4. Step 4: Simplify right side
    478,042.62x = 101,077,949,985.09
  5. Step 5: Solve for x
    x = 101,077,949,985.09/478,042.62
  6. Step 6: Final answer
    x = 211,441.29

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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.