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Finding the Fourth Proportional to 494,594.15, 741,877.32 and 157,655.03

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Solution

The fourth proportional to 494,594.15, 741,877.32 and 157,655.03 is: 236,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,594.15 : 741,877.32 = 157,655.03 : x
  2. Step 2: Convert to fraction form
    494,594.15/741,877.32 = 157,655.03/x
  3. Step 3: Cross multiply
    494,594.15x = 741,877.32 × 157,655.03
  4. Step 4: Simplify right side
    494,594.15x = 116,960,691,140.92
  5. Step 5: Solve for x
    x = 116,960,691,140.92/494,594.15
  6. Step 6: Final answer
    x = 236,478.11

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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.