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Finding the Fourth Proportional to 538,506.70, 807,798.45 and 164,529.10

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Solution

The fourth proportional to 538,506.70, 807,798.45 and 164,529.10 is: 246,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,506.70 : 807,798.45 = 164,529.10 : x
  2. Step 2: Convert to fraction form
    538,506.70/807,798.45 = 164,529.10/x
  3. Step 3: Cross multiply
    538,506.70x = 807,798.45 × 164,529.10
  4. Step 4: Simplify right side
    538,506.70x = 132,906,351,959.90
  5. Step 5: Solve for x
    x = 132,906,351,959.90/538,506.70
  6. Step 6: Final answer
    x = 246,805.38

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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.