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Finding the Fourth Proportional to 274,570.24, 411,866.88 and 97,078.72

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Solution

The fourth proportional to 274,570.24, 411,866.88 and 97,078.72 is: 145,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,570.24 : 411,866.88 = 97,078.72 : x
  2. Step 2: Convert to fraction form
    274,570.24/411,866.88 = 97,078.72/x
  3. Step 3: Cross multiply
    274,570.24x = 411,866.88 × 97,078.72
  4. Step 4: Simplify right side
    274,570.24x = 39,983,509,520.79
  5. Step 5: Solve for x
    x = 39,983,509,520.79/274,570.24
  6. Step 6: Final answer
    x = 145,622.15

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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.