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Finding the Fourth Proportional to 467,909.70, 701,864.55 and 460,911.30

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Solution

The fourth proportional to 467,909.70, 701,864.55 and 460,911.30 is: 691,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,909.70 : 701,864.55 = 460,911.30 : x
  2. Step 2: Convert to fraction form
    467,909.70/701,864.55 = 460,911.30/x
  3. Step 3: Cross multiply
    467,909.70x = 701,864.55 × 460,911.30
  4. Step 4: Simplify right side
    467,909.70x = 323,497,302,164.42
  5. Step 5: Solve for x
    x = 323,497,302,164.42/467,909.70
  6. Step 6: Final answer
    x = 691,366.95

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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.