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Finding the Fourth Proportional to 590,256.78, 885,286.14 and 163,835.94

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Solution

The fourth proportional to 590,256.78, 885,286.14 and 163,835.94 is: 245,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,256.78 : 885,286.14 = 163,835.94 : x
  2. Step 2: Convert to fraction form
    590,256.78/885,286.14 = 163,835.94/x
  3. Step 3: Cross multiply
    590,256.78x = 885,286.14 × 163,835.94
  4. Step 4: Simplify right side
    590,256.78x = 145,041,686,915.87
  5. Step 5: Solve for x
    x = 145,041,686,915.87/590,256.78
  6. Step 6: Final answer
    x = 245,726.42

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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.