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Finding the Fourth Proportional to 464,147.88, 696,309.30 and 330,697.14

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Solution

The fourth proportional to 464,147.88, 696,309.30 and 330,697.14 is: 496,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,147.88 : 696,309.30 = 330,697.14 : x
  2. Step 2: Convert to fraction form
    464,147.88/696,309.30 = 330,697.14/x
  3. Step 3: Cross multiply
    464,147.88x = 696,309.30 × 330,697.14
  4. Step 4: Simplify right side
    464,147.88x = 230,267,494,065.40
  5. Step 5: Solve for x
    x = 230,267,494,065.40/464,147.88
  6. Step 6: Final answer
    x = 496,108.04

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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.