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Finding the Fourth Proportional to 494,871.68, 741,944 and 157,718.32

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Solution

The fourth proportional to 494,871.68, 741,944 and 157,718.32 is: 236,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,871.68 : 741,944 = 157,718.32 : x
  2. Step 2: Convert to fraction form
    494,871.68/741,944 = 157,718.32/x
  3. Step 3: Cross multiply
    494,871.68x = 741,944 × 157,718.32
  4. Step 4: Simplify right side
    494,871.68x = 117,018,161,214.08
  5. Step 5: Solve for x
    x = 117,018,161,214.08/494,871.68
  6. Step 6: Final answer
    x = 236,461.62

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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.