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Finding the Fourth Proportional to 590,341.14, 885,423.42 and 163,832

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Solution

The fourth proportional to 590,341.14, 885,423.42 and 163,832 is: 245,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,341.14 : 885,423.42 = 163,832 : x
  2. Step 2: Convert to fraction form
    590,341.14/885,423.42 = 163,832/x
  3. Step 3: Cross multiply
    590,341.14x = 885,423.42 × 163,832
  4. Step 4: Simplify right side
    590,341.14x = 145,060,689,745.44
  5. Step 5: Solve for x
    x = 145,060,689,745.44/590,341.14
  6. Step 6: Final answer
    x = 245,723.50

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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.