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Finding the Fourth Proportional to 467,704.20, 702,074.70 and 290,411.40

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Solution

The fourth proportional to 467,704.20, 702,074.70 and 290,411.40 is: 435,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,704.20 : 702,074.70 = 290,411.40 : x
  2. Step 2: Convert to fraction form
    467,704.20/702,074.70 = 290,411.40/x
  3. Step 3: Cross multiply
    467,704.20x = 702,074.70 × 290,411.40
  4. Step 4: Simplify right side
    467,704.20x = 203,890,496,531.58
  5. Step 5: Solve for x
    x = 203,890,496,531.58/467,704.20
  6. Step 6: Final answer
    x = 435,938.99

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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.