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Finding the Fourth Proportional to 274,419.58, 411,678.33 and 97,029.58

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Solution

The fourth proportional to 274,419.58, 411,678.33 and 97,029.58 is: 145,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,419.58 : 411,678.33 = 97,029.58 : x
  2. Step 2: Convert to fraction form
    274,419.58/411,678.33 = 97,029.58/x
  3. Step 3: Cross multiply
    274,419.58x = 411,678.33 × 97,029.58
  4. Step 4: Simplify right side
    274,419.58x = 39,944,975,455.00
  5. Step 5: Solve for x
    x = 39,944,975,455.00/274,419.58
  6. Step 6: Final answer
    x = 145,561.68

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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.