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Finding the Fourth Proportional to 459,937.70, 690,021.36 and 160,422.57

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Solution

The fourth proportional to 459,937.70, 690,021.36 and 160,422.57 is: 240,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,937.70 : 690,021.36 = 160,422.57 : x
  2. Step 2: Convert to fraction form
    459,937.70/690,021.36 = 160,422.57/x
  3. Step 3: Cross multiply
    459,937.70x = 690,021.36 × 160,422.57
  4. Step 4: Simplify right side
    459,937.70x = 110,694,999,926.10
  5. Step 5: Solve for x
    x = 110,694,999,926.10/459,937.70
  6. Step 6: Final answer
    x = 240,673.90

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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.