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Finding the Fourth Proportional to 462,782.41, 694,260.50 and 210,080.63

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Solution

The fourth proportional to 462,782.41, 694,260.50 and 210,080.63 is: 315,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,782.41 : 694,260.50 = 210,080.63 : x
  2. Step 2: Convert to fraction form
    462,782.41/694,260.50 = 210,080.63/x
  3. Step 3: Cross multiply
    462,782.41x = 694,260.50 × 210,080.63
  4. Step 4: Simplify right side
    462,782.41x = 145,850,683,909.36
  5. Step 5: Solve for x
    x = 145,850,683,909.36/462,782.41
  6. Step 6: Final answer
    x = 315,160.39

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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.