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Finding the Fourth Proportional to 308,333.67, 462,402.08 and 97,922.40

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Solution

The fourth proportional to 308,333.67, 462,402.08 and 97,922.40 is: 146,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,333.67 : 462,402.08 = 97,922.40 : x
  2. Step 2: Convert to fraction form
    308,333.67/462,402.08 = 97,922.40/x
  3. Step 3: Cross multiply
    308,333.67x = 462,402.08 × 97,922.40
  4. Step 4: Simplify right side
    308,333.67x = 45,279,520,948.98
  5. Step 5: Solve for x
    x = 45,279,520,948.98/308,333.67
  6. Step 6: Final answer
    x = 146,852.34

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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.