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Finding the Fourth Proportional to 538,056.60, 807,082.74 and 164,078.52

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Solution

The fourth proportional to 538,056.60, 807,082.74 and 164,078.52 is: 246,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,056.60 : 807,082.74 = 164,078.52 : x
  2. Step 2: Convert to fraction form
    538,056.60/807,082.74 = 164,078.52/x
  3. Step 3: Cross multiply
    538,056.60x = 807,082.74 × 164,078.52
  4. Step 4: Simplify right side
    538,056.60x = 132,424,941,496.75
  5. Step 5: Solve for x
    x = 132,424,941,496.75/538,056.60
  6. Step 6: Final answer
    x = 246,117.12

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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.