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Finding the Fourth Proportional to 264,395.95, 364,923.97 and 162,474.86

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Solution

The fourth proportional to 264,395.95, 364,923.97 and 162,474.86 is: 224,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,395.95 : 364,923.97 = 162,474.86 : x
  2. Step 2: Convert to fraction form
    264,395.95/364,923.97 = 162,474.86/x
  3. Step 3: Cross multiply
    264,395.95x = 364,923.97 × 162,474.86
  4. Step 4: Simplify right side
    264,395.95x = 59,290,971,442.52
  5. Step 5: Solve for x
    x = 59,290,971,442.52/264,395.95
  6. Step 6: Final answer
    x = 224,250.68

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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.