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Finding the Fourth Proportional to 377,411.80, 565,651.14 and 190,321.24

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Solution

The fourth proportional to 377,411.80, 565,651.14 and 190,321.24 is: 285,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,411.80 : 565,651.14 = 190,321.24 : x
  2. Step 2: Convert to fraction form
    377,411.80/565,651.14 = 190,321.24/x
  3. Step 3: Cross multiply
    377,411.80x = 565,651.14 × 190,321.24
  4. Step 4: Simplify right side
    377,411.80x = 107,655,426,372.21
  5. Step 5: Solve for x
    x = 107,655,426,372.21/377,411.80
  6. Step 6: Final answer
    x = 285,246.58

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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.