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Finding the Fourth Proportional to 377,380.56, 565,904.64 and 199,846.08

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Solution

The fourth proportional to 377,380.56, 565,904.64 and 199,846.08 is: 299,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,380.56 : 565,904.64 = 199,846.08 : x
  2. Step 2: Convert to fraction form
    377,380.56/565,904.64 = 199,846.08/x
  3. Step 3: Cross multiply
    377,380.56x = 565,904.64 × 199,846.08
  4. Step 4: Simplify right side
    377,380.56x = 113,093,823,957.81
  5. Step 5: Solve for x
    x = 113,093,823,957.81/377,380.56
  6. Step 6: Final answer
    x = 299,681.11

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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.