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Finding the Fourth Proportional to 514,201.48, 771,176.32 and 214,684.52

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Solution

The fourth proportional to 514,201.48, 771,176.32 and 214,684.52 is: 321,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,201.48 : 771,176.32 = 214,684.52 : x
  2. Step 2: Convert to fraction form
    514,201.48/771,176.32 = 214,684.52/x
  3. Step 3: Cross multiply
    514,201.48x = 771,176.32 × 214,684.52
  4. Step 4: Simplify right side
    514,201.48x = 165,559,618,094.57
  5. Step 5: Solve for x
    x = 165,559,618,094.57/514,201.48
  6. Step 6: Final answer
    x = 321,974.22

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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.