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Finding the Fourth Proportional to 287,661.08, 431,491.25 and 77,299.02

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Solution

The fourth proportional to 287,661.08, 431,491.25 and 77,299.02 is: 115,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,661.08 : 431,491.25 = 77,299.02 : x
  2. Step 2: Convert to fraction form
    287,661.08/431,491.25 = 77,299.02/x
  3. Step 3: Cross multiply
    287,661.08x = 431,491.25 × 77,299.02
  4. Step 4: Simplify right side
    287,661.08x = 33,353,850,763.58
  5. Step 5: Solve for x
    x = 33,353,850,763.58/287,661.08
  6. Step 6: Final answer
    x = 115,948.43

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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.