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Finding the Fourth Proportional to 298,197.79, 411,482.22 and 177,315.72

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Solution

The fourth proportional to 298,197.79, 411,482.22 and 177,315.72 is: 244,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,197.79 : 411,482.22 = 177,315.72 : x
  2. Step 2: Convert to fraction form
    298,197.79/411,482.22 = 177,315.72/x
  3. Step 3: Cross multiply
    298,197.79x = 411,482.22 × 177,315.72
  4. Step 4: Simplify right side
    298,197.79x = 72,962,264,049.09
  5. Step 5: Solve for x
    x = 72,962,264,049.09/298,197.79
  6. Step 6: Final answer
    x = 244,677.42

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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.