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Finding the Fourth Proportional to 514,403.50, 771,605.34 and 214,720.60

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Solution

The fourth proportional to 514,403.50, 771,605.34 and 214,720.60 is: 322,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,403.50 : 771,605.34 = 214,720.60 : x
  2. Step 2: Convert to fraction form
    514,403.50/771,605.34 = 214,720.60/x
  3. Step 3: Cross multiply
    514,403.50x = 771,605.34 × 214,720.60
  4. Step 4: Simplify right side
    514,403.50x = 165,679,561,568.00
  5. Step 5: Solve for x
    x = 165,679,561,568.00/514,403.50
  6. Step 6: Final answer
    x = 322,080.94

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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.