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Finding the Fourth Proportional to 291,663.80, 402,496.08 and 157,527.80

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Solution

The fourth proportional to 291,663.80, 402,496.08 and 157,527.80 is: 217,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,663.80 : 402,496.08 = 157,527.80 : x
  2. Step 2: Convert to fraction form
    291,663.80/402,496.08 = 157,527.80/x
  3. Step 3: Cross multiply
    291,663.80x = 402,496.08 × 157,527.80
  4. Step 4: Simplify right side
    291,663.80x = 63,404,321,991.02
  5. Step 5: Solve for x
    x = 63,404,321,991.02/291,663.80
  6. Step 6: Final answer
    x = 217,388.38

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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.