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Finding the Fourth Proportional to 538,424.70, 807,637.05 and 463,629.30

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Solution

The fourth proportional to 538,424.70, 807,637.05 and 463,629.30 is: 695,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,424.70 : 807,637.05 = 463,629.30 : x
  2. Step 2: Convert to fraction form
    538,424.70/807,637.05 = 463,629.30/x
  3. Step 3: Cross multiply
    538,424.70x = 807,637.05 × 463,629.30
  4. Step 4: Simplify right side
    538,424.70x = 374,444,200,145.57
  5. Step 5: Solve for x
    x = 374,444,200,145.57/538,424.70
  6. Step 6: Final answer
    x = 695,443.95

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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.