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Finding the Fourth Proportional to 301,271.76, 415,791.90 and 173,947.14

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Solution

The fourth proportional to 301,271.76, 415,791.90 and 173,947.14 is: 240,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,271.76 : 415,791.90 = 173,947.14 : x
  2. Step 2: Convert to fraction form
    301,271.76/415,791.90 = 173,947.14/x
  3. Step 3: Cross multiply
    301,271.76x = 415,791.90 × 173,947.14
  4. Step 4: Simplify right side
    301,271.76x = 72,325,811,840.17
  5. Step 5: Solve for x
    x = 72,325,811,840.17/301,271.76
  6. Step 6: Final answer
    x = 240,068.34

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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.