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Finding the Fourth Proportional to 377,987.94, 566,682.21 and 198,038.86

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Solution

The fourth proportional to 377,987.94, 566,682.21 and 198,038.86 is: 296,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,987.94 : 566,682.21 = 198,038.86 : x
  2. Step 2: Convert to fraction form
    377,987.94/566,682.21 = 198,038.86/x
  3. Step 3: Cross multiply
    377,987.94x = 566,682.21 × 198,038.86
  4. Step 4: Simplify right side
    377,987.94x = 112,225,097,433.98
  5. Step 5: Solve for x
    x = 112,225,097,433.98/377,987.94
  6. Step 6: Final answer
    x = 296,901.26

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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.