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Finding the Fourth Proportional to 377,865.10, 566,797.65 and 377,865.10

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Solution

The fourth proportional to 377,865.10, 566,797.65 and 377,865.10 is: 566,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,865.10 : 566,797.65 = 377,865.10 : x
  2. Step 2: Convert to fraction form
    377,865.10/566,797.65 = 377,865.10/x
  3. Step 3: Cross multiply
    377,865.10x = 566,797.65 × 377,865.10
  4. Step 4: Simplify right side
    377,865.10x = 214,173,050,697.02
  5. Step 5: Solve for x
    x = 214,173,050,697.02/377,865.10
  6. Step 6: Final answer
    x = 566,797.65

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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.