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Finding the Fourth Proportional to 472,149.39, 651,566.19 and 257,289.39

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Solution

The fourth proportional to 472,149.39, 651,566.19 and 257,289.39 is: 355,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,149.39 : 651,566.19 = 257,289.39 : x
  2. Step 2: Convert to fraction form
    472,149.39/651,566.19 = 257,289.39/x
  3. Step 3: Cross multiply
    472,149.39x = 651,566.19 × 257,289.39
  4. Step 4: Simplify right side
    472,149.39x = 167,641,067,569.72
  5. Step 5: Solve for x
    x = 167,641,067,569.72/472,149.39
  6. Step 6: Final answer
    x = 355,059.38

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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.