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Finding the Fourth Proportional to 377,464.50, 566,284.23 and 128,146.50

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Solution

The fourth proportional to 377,464.50, 566,284.23 and 128,146.50 is: 192,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,464.50 : 566,284.23 = 128,146.50 : x
  2. Step 2: Convert to fraction form
    377,464.50/566,284.23 = 128,146.50/x
  3. Step 3: Cross multiply
    377,464.50x = 566,284.23 × 128,146.50
  4. Step 4: Simplify right side
    377,464.50x = 72,567,342,079.70
  5. Step 5: Solve for x
    x = 72,567,342,079.70/377,464.50
  6. Step 6: Final answer
    x = 192,249.45

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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.