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Finding the Fourth Proportional to 377,512.32, 565,873.60 and 140,752

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Solution

The fourth proportional to 377,512.32, 565,873.60 and 140,752 is: 210,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,512.32 : 565,873.60 = 140,752 : x
  2. Step 2: Convert to fraction form
    377,512.32/565,873.60 = 140,752/x
  3. Step 3: Cross multiply
    377,512.32x = 565,873.60 × 140,752
  4. Step 4: Simplify right side
    377,512.32x = 79,647,840,947.20
  5. Step 5: Solve for x
    x = 79,647,840,947.20/377,512.32
  6. Step 6: Final answer
    x = 210,980.77

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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.