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Finding the Fourth Proportional to 537,642.22, 806,462.22 and 158,828.95

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Solution

The fourth proportional to 537,642.22, 806,462.22 and 158,828.95 is: 238,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,642.22 : 806,462.22 = 158,828.95 : x
  2. Step 2: Convert to fraction form
    537,642.22/806,462.22 = 158,828.95/x
  3. Step 3: Cross multiply
    537,642.22x = 806,462.22 × 158,828.95
  4. Step 4: Simplify right side
    537,642.22x = 128,089,544,806.97
  5. Step 5: Solve for x
    x = 128,089,544,806.97/537,642.22
  6. Step 6: Final answer
    x = 238,243.09

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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.