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Finding the Fourth Proportional to 333,638.62, 500,471.78 and 96,981.30

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Solution

The fourth proportional to 333,638.62, 500,471.78 and 96,981.30 is: 145,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,638.62 : 500,471.78 = 96,981.30 : x
  2. Step 2: Convert to fraction form
    333,638.62/500,471.78 = 96,981.30/x
  3. Step 3: Cross multiply
    333,638.62x = 500,471.78 × 96,981.30
  4. Step 4: Simplify right side
    333,638.62x = 48,536,403,978.40
  5. Step 5: Solve for x
    x = 48,536,403,978.40/333,638.62
  6. Step 6: Final answer
    x = 145,475.98

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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.