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Finding the Fourth Proportional to 633,234.26, 948,659.56 and 313,011.29

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Solution

The fourth proportional to 633,234.26, 948,659.56 and 313,011.29 is: 468,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,234.26 : 948,659.56 = 313,011.29 : x
  2. Step 2: Convert to fraction form
    633,234.26/948,659.56 = 313,011.29/x
  3. Step 3: Cross multiply
    633,234.26x = 948,659.56 × 313,011.29
  4. Step 4: Simplify right side
    633,234.26x = 296,941,152,646.43
  5. Step 5: Solve for x
    x = 296,941,152,646.43/633,234.26
  6. Step 6: Final answer
    x = 468,927.81

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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.