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Finding the Fourth Proportional to 409,445.37, 614,513.13 and 172,957.77

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Solution

The fourth proportional to 409,445.37, 614,513.13 and 172,957.77 is: 259,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,445.37 : 614,513.13 = 172,957.77 : x
  2. Step 2: Convert to fraction form
    409,445.37/614,513.13 = 172,957.77/x
  3. Step 3: Cross multiply
    409,445.37x = 614,513.13 × 172,957.77
  4. Step 4: Simplify right side
    409,445.37x = 106,284,820,600.52
  5. Step 5: Solve for x
    x = 106,284,820,600.52/409,445.37
  6. Step 6: Final answer
    x = 259,582.42

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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.