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Finding the Fourth Proportional to 328,233.64, 492,153.60 and 150,518.02

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Solution

The fourth proportional to 328,233.64, 492,153.60 and 150,518.02 is: 225,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,233.64 : 492,153.60 = 150,518.02 : x
  2. Step 2: Convert to fraction form
    328,233.64/492,153.60 = 150,518.02/x
  3. Step 3: Cross multiply
    328,233.64x = 492,153.60 × 150,518.02
  4. Step 4: Simplify right side
    328,233.64x = 74,077,985,407.87
  5. Step 5: Solve for x
    x = 74,077,985,407.87/328,233.64
  6. Step 6: Final answer
    x = 225,686.76

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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.