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Finding the Fourth Proportional to 291,738.56, 402,593.60 and 164,411.60

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Solution

The fourth proportional to 291,738.56, 402,593.60 and 164,411.60 is: 226,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,738.56 : 402,593.60 = 164,411.60 : x
  2. Step 2: Convert to fraction form
    291,738.56/402,593.60 = 164,411.60/x
  3. Step 3: Cross multiply
    291,738.56x = 402,593.60 × 164,411.60
  4. Step 4: Simplify right side
    291,738.56x = 66,191,057,925.76
  5. Step 5: Solve for x
    x = 66,191,057,925.76/291,738.56
  6. Step 6: Final answer
    x = 226,884.84

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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.