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Finding the Fourth Proportional to 291,800.57, 402,684.78 and 157,664.57

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Solution

The fourth proportional to 291,800.57, 402,684.78 and 157,664.57 is: 217,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,800.57 : 402,684.78 = 157,664.57 : x
  2. Step 2: Convert to fraction form
    291,800.57/402,684.78 = 157,664.57/x
  3. Step 3: Cross multiply
    291,800.57x = 402,684.78 × 157,664.57
  4. Step 4: Simplify right side
    291,800.57x = 63,489,120,670.82
  5. Step 5: Solve for x
    x = 63,489,120,670.82/291,800.57
  6. Step 6: Final answer
    x = 217,577.10

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