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Finding the Fourth Proportional to 538,456.84, 807,529.72 and 183,463

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Solution

The fourth proportional to 538,456.84, 807,529.72 and 183,463 is: 275,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,456.84 : 807,529.72 = 183,463 : x
  2. Step 2: Convert to fraction form
    538,456.84/807,529.72 = 183,463/x
  3. Step 3: Cross multiply
    538,456.84x = 807,529.72 × 183,463
  4. Step 4: Simplify right side
    538,456.84x = 148,151,825,020.36
  5. Step 5: Solve for x
    x = 148,151,825,020.36/538,456.84
  6. Step 6: Final answer
    x = 275,141.50

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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.