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Finding the Fourth Proportional to 330,699.90, 496,253.97 and 153,173.82

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Solution

The fourth proportional to 330,699.90, 496,253.97 and 153,173.82 is: 229,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,699.90 : 496,253.97 = 153,173.82 : x
  2. Step 2: Convert to fraction form
    330,699.90/496,253.97 = 153,173.82/x
  3. Step 3: Cross multiply
    330,699.90x = 496,253.97 × 153,173.82
  4. Step 4: Simplify right side
    330,699.90x = 76,013,116,275.07
  5. Step 5: Solve for x
    x = 76,013,116,275.07/330,699.90
  6. Step 6: Final answer
    x = 229,855.27

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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.