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Finding the Fourth Proportional to 296,627.76, 444,940.20 and 97,084.08

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Solution

The fourth proportional to 296,627.76, 444,940.20 and 97,084.08 is: 145,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,627.76 : 444,940.20 = 97,084.08 : x
  2. Step 2: Convert to fraction form
    296,627.76/444,940.20 = 97,084.08/x
  3. Step 3: Cross multiply
    296,627.76x = 444,940.20 × 97,084.08
  4. Step 4: Simplify right side
    296,627.76x = 43,196,609,972.02
  5. Step 5: Solve for x
    x = 43,196,609,972.02/296,627.76
  6. Step 6: Final answer
    x = 145,625.65

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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.