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Finding the Fourth Proportional to 340,853.98, 511,225.60 and 160,939.06

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Solution

The fourth proportional to 340,853.98, 511,225.60 and 160,939.06 is: 241,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,853.98 : 511,225.60 = 160,939.06 : x
  2. Step 2: Convert to fraction form
    340,853.98/511,225.60 = 160,939.06/x
  3. Step 3: Cross multiply
    340,853.98x = 511,225.60 × 160,939.06
  4. Step 4: Simplify right side
    340,853.98x = 82,276,164,151.11
  5. Step 5: Solve for x
    x = 82,276,164,151.11/340,853.98
  6. Step 6: Final answer
    x = 241,382.44

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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.