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Finding the Fourth Proportional to 462,080.61, 693,145.58 and 146,561.85

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Solution

The fourth proportional to 462,080.61, 693,145.58 and 146,561.85 is: 219,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,080.61 : 693,145.58 = 146,561.85 : x
  2. Step 2: Convert to fraction form
    462,080.61/693,145.58 = 146,561.85/x
  3. Step 3: Cross multiply
    462,080.61x = 693,145.58 × 146,561.85
  4. Step 4: Simplify right side
    462,080.61x = 101,588,698,524.12
  5. Step 5: Solve for x
    x = 101,588,698,524.12/462,080.61
  6. Step 6: Final answer
    x = 219,850.60

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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.