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Finding the Fourth Proportional to 538,505.52, 807,758.24 and 144,521.52

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Solution

The fourth proportional to 538,505.52, 807,758.24 and 144,521.52 is: 216,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,505.52 : 807,758.24 = 144,521.52 : x
  2. Step 2: Convert to fraction form
    538,505.52/807,758.24 = 144,521.52/x
  3. Step 3: Cross multiply
    538,505.52x = 807,758.24 × 144,521.52
  4. Step 4: Simplify right side
    538,505.52x = 116,738,448,637.33
  5. Step 5: Solve for x
    x = 116,738,448,637.33/538,505.52
  6. Step 6: Final answer
    x = 216,782.27

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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.