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Finding the Fourth Proportional to 291,957.16, 437,799.66 and 151,678.12

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Solution

The fourth proportional to 291,957.16, 437,799.66 and 151,678.12 is: 227,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,957.16 : 437,799.66 = 151,678.12 : x
  2. Step 2: Convert to fraction form
    291,957.16/437,799.66 = 151,678.12/x
  3. Step 3: Cross multiply
    291,957.16x = 437,799.66 × 151,678.12
  4. Step 4: Simplify right side
    291,957.16x = 66,404,629,365.44
  5. Step 5: Solve for x
    x = 66,404,629,365.44/291,957.16
  6. Step 6: Final answer
    x = 227,446.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.