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Finding the Fourth Proportional to 538,020.40, 806,944.20 and 163,956.40

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Solution

The fourth proportional to 538,020.40, 806,944.20 and 163,956.40 is: 245,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,020.40 : 806,944.20 = 163,956.40 : x
  2. Step 2: Convert to fraction form
    538,020.40/806,944.20 = 163,956.40/x
  3. Step 3: Cross multiply
    538,020.40x = 806,944.20 × 163,956.40
  4. Step 4: Simplify right side
    538,020.40x = 132,303,666,032.88
  5. Step 5: Solve for x
    x = 132,303,666,032.88/538,020.40
  6. Step 6: Final answer
    x = 245,908.27

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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.