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Finding the Fourth Proportional to 469,010.95, 647,235.75 and 254,150.86

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Solution

The fourth proportional to 469,010.95, 647,235.75 and 254,150.86 is: 350,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,010.95 : 647,235.75 = 254,150.86 : x
  2. Step 2: Convert to fraction form
    469,010.95/647,235.75 = 254,150.86/x
  3. Step 3: Cross multiply
    469,010.95x = 647,235.75 × 254,150.86
  4. Step 4: Simplify right side
    469,010.95x = 164,495,522,485.25
  5. Step 5: Solve for x
    x = 164,495,522,485.25/469,010.95
  6. Step 6: Final answer
    x = 350,728.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.