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Finding the Fourth Proportional to 274,570.74, 411,867.63 and 97,079.22

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Solution

The fourth proportional to 274,570.74, 411,867.63 and 97,079.22 is: 145,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,570.74 : 411,867.63 = 97,079.22 : x
  2. Step 2: Convert to fraction form
    274,570.74/411,867.63 = 97,079.22/x
  3. Step 3: Cross multiply
    274,570.74x = 411,867.63 × 97,079.22
  4. Step 4: Simplify right side
    274,570.74x = 39,983,788,263.65
  5. Step 5: Solve for x
    x = 39,983,788,263.65/274,570.74
  6. Step 6: Final answer
    x = 145,622.90

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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.