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Finding the Fourth Proportional to 291,959.24, 402,904.33 and 157,823.24

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Solution

The fourth proportional to 291,959.24, 402,904.33 and 157,823.24 is: 217,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,959.24 : 402,904.33 = 157,823.24 : x
  2. Step 2: Convert to fraction form
    291,959.24/402,904.33 = 157,823.24/x
  3. Step 3: Cross multiply
    291,959.24x = 402,904.33 × 157,823.24
  4. Step 4: Simplify right side
    291,959.24x = 63,587,664,361.55
  5. Step 5: Solve for x
    x = 63,587,664,361.55/291,959.24
  6. Step 6: Final answer
    x = 217,796.38

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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.