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Finding the Fourth Proportional to 326,101.10, 489,151.65 and 297,232.70

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Solution

The fourth proportional to 326,101.10, 489,151.65 and 297,232.70 is: 445,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,101.10 : 489,151.65 = 297,232.70 : x
  2. Step 2: Convert to fraction form
    326,101.10/489,151.65 = 297,232.70/x
  3. Step 3: Cross multiply
    326,101.10x = 489,151.65 × 297,232.70
  4. Step 4: Simplify right side
    326,101.10x = 145,391,865,638.96
  5. Step 5: Solve for x
    x = 145,391,865,638.96/326,101.10
  6. Step 6: Final answer
    x = 445,849.05

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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.