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Finding the Fourth Proportional to 293,589.61, 405,128.93 and 162,770.76

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Solution

The fourth proportional to 293,589.61, 405,128.93 and 162,770.76 is: 224,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,589.61 : 405,128.93 = 162,770.76 : x
  2. Step 2: Convert to fraction form
    293,589.61/405,128.93 = 162,770.76/x
  3. Step 3: Cross multiply
    293,589.61x = 405,128.93 × 162,770.76
  4. Step 4: Simplify right side
    293,589.61x = 65,943,143,020.23
  5. Step 5: Solve for x
    x = 65,943,143,020.23/293,589.61
  6. Step 6: Final answer
    x = 224,609.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.