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Finding the Fourth Proportional to 565,180.12, 847,768.02 and 144,455.32

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Solution

The fourth proportional to 565,180.12, 847,768.02 and 144,455.32 is: 216,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,180.12 : 847,768.02 = 144,455.32 : x
  2. Step 2: Convert to fraction form
    565,180.12/847,768.02 = 144,455.32/x
  3. Step 3: Cross multiply
    565,180.12x = 847,768.02 × 144,455.32
  4. Step 4: Simplify right side
    565,180.12x = 122,464,600,614.87
  5. Step 5: Solve for x
    x = 122,464,600,614.87/565,180.12
  6. Step 6: Final answer
    x = 216,682.43

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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.