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Finding the Fourth Proportional to 340,924.74, 511,511.80 and 158,642.48

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Solution

The fourth proportional to 340,924.74, 511,511.80 and 158,642.48 is: 238,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,924.74 : 511,511.80 = 158,642.48 : x
  2. Step 2: Convert to fraction form
    340,924.74/511,511.80 = 158,642.48/x
  3. Step 3: Cross multiply
    340,924.74x = 511,511.80 × 158,642.48
  4. Step 4: Simplify right side
    340,924.74x = 81,147,500,501.26
  5. Step 5: Solve for x
    x = 81,147,500,501.26/340,924.74
  6. Step 6: Final answer
    x = 238,021.74

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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.