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Finding the Fourth Proportional to 291,632, 402,452.24 and 157,496

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Solution

The fourth proportional to 291,632, 402,452.24 and 157,496 is: 217,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,632 : 402,452.24 = 157,496 : x
  2. Step 2: Convert to fraction form
    291,632/402,452.24 = 157,496/x
  3. Step 3: Cross multiply
    291,632x = 402,452.24 × 157,496
  4. Step 4: Simplify right side
    291,632x = 63,384,617,991.04
  5. Step 5: Solve for x
    x = 63,384,617,991.04/291,632
  6. Step 6: Final answer
    x = 217,344.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.