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Finding the Fourth Proportional to 274,569.74, 411,866.13 and 97,078.22

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Solution

The fourth proportional to 274,569.74, 411,866.13 and 97,078.22 is: 145,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,569.74 : 411,866.13 = 97,078.22 : x
  2. Step 2: Convert to fraction form
    274,569.74/411,866.13 = 97,078.22/x
  3. Step 3: Cross multiply
    274,569.74x = 411,866.13 × 97,078.22
  4. Step 4: Simplify right side
    274,569.74x = 39,983,230,778.69
  5. Step 5: Solve for x
    x = 39,983,230,778.69/274,569.74
  6. Step 6: Final answer
    x = 145,621.40

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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.