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Finding the Fourth Proportional to 296,902.80, 445,397.40 and 97,174.80

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Solution

The fourth proportional to 296,902.80, 445,397.40 and 97,174.80 is: 145,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,902.80 : 445,397.40 = 97,174.80 : x
  2. Step 2: Convert to fraction form
    296,902.80/445,397.40 = 97,174.80/x
  3. Step 3: Cross multiply
    296,902.80x = 445,397.40 × 97,174.80
  4. Step 4: Simplify right side
    296,902.80x = 43,281,403,265.52
  5. Step 5: Solve for x
    x = 43,281,403,265.52/296,902.80
  6. Step 6: Final answer
    x = 145,776.34

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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.