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Finding the Fourth Proportional to 560,218.26, 840,212.12 and 160,770

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Solution

The fourth proportional to 560,218.26, 840,212.12 and 160,770 is: 241,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,218.26 : 840,212.12 = 160,770 : x
  2. Step 2: Convert to fraction form
    560,218.26/840,212.12 = 160,770/x
  3. Step 3: Cross multiply
    560,218.26x = 840,212.12 × 160,770
  4. Step 4: Simplify right side
    560,218.26x = 135,080,901,728.55
  5. Step 5: Solve for x
    x = 135,080,901,728.55/560,218.26
  6. Step 6: Final answer
    x = 241,121.92

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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.