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Finding the Fourth Proportional to 538,530.40, 807,795.60 and 159,464.80

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Solution

The fourth proportional to 538,530.40, 807,795.60 and 159,464.80 is: 239,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,530.40 : 807,795.60 = 159,464.80 : x
  2. Step 2: Convert to fraction form
    538,530.40/807,795.60 = 159,464.80/x
  3. Step 3: Cross multiply
    538,530.40x = 807,795.60 × 159,464.80
  4. Step 4: Simplify right side
    538,530.40x = 128,814,963,794.88
  5. Step 5: Solve for x
    x = 128,814,963,794.88/538,530.40
  6. Step 6: Final answer
    x = 239,197.20

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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.