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Finding the Fourth Proportional to 328,249.64, 492,177.60 and 150,534

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Solution

The fourth proportional to 328,249.64, 492,177.60 and 150,534 is: 225,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,249.64 : 492,177.60 = 150,534 : x
  2. Step 2: Convert to fraction form
    328,249.64/492,177.60 = 150,534/x
  3. Step 3: Cross multiply
    328,249.64x = 492,177.60 × 150,534
  4. Step 4: Simplify right side
    328,249.64x = 74,089,462,838.40
  5. Step 5: Solve for x
    x = 74,089,462,838.40/328,249.64
  6. Step 6: Final answer
    x = 225,710.72

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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.