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Finding the Fourth Proportional to 514,540.98, 771,811.74 and 214,858.26

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Solution

The fourth proportional to 514,540.98, 771,811.74 and 214,858.26 is: 322,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,540.98 : 771,811.74 = 214,858.26 : x
  2. Step 2: Convert to fraction form
    514,540.98/771,811.74 = 214,858.26/x
  3. Step 3: Cross multiply
    514,540.98x = 771,811.74 × 214,858.26
  4. Step 4: Simplify right side
    514,540.98x = 165,830,127,503.97
  5. Step 5: Solve for x
    x = 165,830,127,503.97/514,540.98
  6. Step 6: Final answer
    x = 322,287.50

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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.