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Finding the Fourth Proportional to 538,530.11, 807,795.17 and 164,549.87

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Solution

The fourth proportional to 538,530.11, 807,795.17 and 164,549.87 is: 246,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,530.11 : 807,795.17 = 164,549.87 : x
  2. Step 2: Convert to fraction form
    538,530.11/807,795.17 = 164,549.87/x
  3. Step 3: Cross multiply
    538,530.11x = 807,795.17 × 164,549.87
  4. Step 4: Simplify right side
    538,530.11x = 132,922,590,210.13
  5. Step 5: Solve for x
    x = 132,922,590,210.13/538,530.11
  6. Step 6: Final answer
    x = 246,824.81

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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.