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Finding the Fourth Proportional to 466,076.96, 643,274.54 and 291,728.03

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Solution

The fourth proportional to 466,076.96, 643,274.54 and 291,728.03 is: 402,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,076.96 : 643,274.54 = 291,728.03 : x
  2. Step 2: Convert to fraction form
    466,076.96/643,274.54 = 291,728.03/x
  3. Step 3: Cross multiply
    466,076.96x = 643,274.54 × 291,728.03
  4. Step 4: Simplify right side
    466,076.96x = 187,661,213,520.26
  5. Step 5: Solve for x
    x = 187,661,213,520.26/466,076.96
  6. Step 6: Final answer
    x = 402,639.97

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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.