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Finding the Fourth Proportional to 590,343.14, 885,426.42 and 163,834

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Solution

The fourth proportional to 590,343.14, 885,426.42 and 163,834 is: 245,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,343.14 : 885,426.42 = 163,834 : x
  2. Step 2: Convert to fraction form
    590,343.14/885,426.42 = 163,834/x
  3. Step 3: Cross multiply
    590,343.14x = 885,426.42 × 163,834
  4. Step 4: Simplify right side
    590,343.14x = 145,062,952,094.28
  5. Step 5: Solve for x
    x = 145,062,952,094.28/590,343.14
  6. Step 6: Final answer
    x = 245,726.50

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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.