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Finding the Fourth Proportional to 514,212.57, 771,610.50 and 277,550.01

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Solution

The fourth proportional to 514,212.57, 771,610.50 and 277,550.01 is: 416,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,212.57 : 771,610.50 = 277,550.01 : x
  2. Step 2: Convert to fraction form
    514,212.57/771,610.50 = 277,550.01/x
  3. Step 3: Cross multiply
    514,212.57x = 771,610.50 × 277,550.01
  4. Step 4: Simplify right side
    514,212.57x = 214,160,501,991.11
  5. Step 5: Solve for x
    x = 214,160,501,991.11/514,212.57
  6. Step 6: Final answer
    x = 416,482.43

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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.