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Finding the Fourth Proportional to 298,093.76, 447,140.58 and 173,347.28

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Solution

The fourth proportional to 298,093.76, 447,140.58 and 173,347.28 is: 260,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,093.76 : 447,140.58 = 173,347.28 : x
  2. Step 2: Convert to fraction form
    298,093.76/447,140.58 = 173,347.28/x
  3. Step 3: Cross multiply
    298,093.76x = 447,140.58 × 173,347.28
  4. Step 4: Simplify right side
    298,093.76x = 77,510,603,320.62
  5. Step 5: Solve for x
    x = 77,510,603,320.62/298,093.76
  6. Step 6: Final answer
    x = 260,020.89

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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.