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Finding the Fourth Proportional to 489,114.15, 733,671.23 and 431,377.35

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Solution

The fourth proportional to 489,114.15, 733,671.23 and 431,377.35 is: 647,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,114.15 : 733,671.23 = 431,377.35 : x
  2. Step 2: Convert to fraction form
    489,114.15/733,671.23 = 431,377.35/x
  3. Step 3: Cross multiply
    489,114.15x = 733,671.23 × 431,377.35
  4. Step 4: Simplify right side
    489,114.15x = 316,489,148,811.75
  5. Step 5: Solve for x
    x = 316,489,148,811.75/489,114.15
  6. Step 6: Final answer
    x = 647,066.03

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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.