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Finding the Fourth Proportional to 297,669.47, 410,785.16 and 161,703.95

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Solution

The fourth proportional to 297,669.47, 410,785.16 and 161,703.95 is: 223,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,669.47 : 410,785.16 = 161,703.95 : x
  2. Step 2: Convert to fraction form
    297,669.47/410,785.16 = 161,703.95/x
  3. Step 3: Cross multiply
    297,669.47x = 410,785.16 × 161,703.95
  4. Step 4: Simplify right side
    297,669.47x = 66,425,580,110.94
  5. Step 5: Solve for x
    x = 66,425,580,110.94/297,669.47
  6. Step 6: Final answer
    x = 223,152.15

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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.