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Finding the Fourth Proportional to 538,527.06, 807,930.48 and 201,594.20

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Solution

The fourth proportional to 538,527.06, 807,930.48 and 201,594.20 is: 302,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,527.06 : 807,930.48 = 201,594.20 : x
  2. Step 2: Convert to fraction form
    538,527.06/807,930.48 = 201,594.20/x
  3. Step 3: Cross multiply
    538,527.06x = 807,930.48 × 201,594.20
  4. Step 4: Simplify right side
    538,527.06x = 162,874,094,731.56
  5. Step 5: Solve for x
    x = 162,874,094,731.56/538,527.06
  6. Step 6: Final answer
    x = 302,443.66

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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.