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Finding the Fourth Proportional to 297,247.76, 410,196.74 and 180,919.19

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Solution

The fourth proportional to 297,247.76, 410,196.74 and 180,919.19 is: 249,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,247.76 : 410,196.74 = 180,919.19 : x
  2. Step 2: Convert to fraction form
    297,247.76/410,196.74 = 180,919.19/x
  3. Step 3: Cross multiply
    297,247.76x = 410,196.74 × 180,919.19
  4. Step 4: Simplify right side
    297,247.76x = 74,212,458,985.86
  5. Step 5: Solve for x
    x = 74,212,458,985.86/297,247.76
  6. Step 6: Final answer
    x = 249,665.33

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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.