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Finding the Fourth Proportional to 330,898.13, 496,300.32 and 106,228.97

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Solution

The fourth proportional to 330,898.13, 496,300.32 and 106,228.97 is: 159,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,898.13 : 496,300.32 = 106,228.97 : x
  2. Step 2: Convert to fraction form
    330,898.13/496,300.32 = 106,228.97/x
  3. Step 3: Cross multiply
    330,898.13x = 496,300.32 × 106,228.97
  4. Step 4: Simplify right side
    330,898.13x = 52,721,473,045.02
  5. Step 5: Solve for x
    x = 52,721,473,045.02/330,898.13
  6. Step 6: Final answer
    x = 159,328.41

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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.