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Finding the Fourth Proportional to 274,574.76, 411,873.64 and 97,083.24

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Solution

The fourth proportional to 274,574.76, 411,873.64 and 97,083.24 is: 145,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,574.76 : 411,873.64 = 97,083.24 : x
  2. Step 2: Convert to fraction form
    274,574.76/411,873.64 = 97,083.24/x
  3. Step 3: Cross multiply
    274,574.76x = 411,873.64 × 97,083.24
  4. Step 4: Simplify right side
    274,574.76x = 39,986,027,441.79
  5. Step 5: Solve for x
    x = 39,986,027,441.79/274,574.76
  6. Step 6: Final answer
    x = 145,628.93

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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.