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Finding the Fourth Proportional to 374,682.74, 561,799.01 and 172,025.24

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Solution

The fourth proportional to 374,682.74, 561,799.01 and 172,025.24 is: 257,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,682.74 : 561,799.01 = 172,025.24 : x
  2. Step 2: Convert to fraction form
    374,682.74/561,799.01 = 172,025.24/x
  3. Step 3: Cross multiply
    374,682.74x = 561,799.01 × 172,025.24
  4. Step 4: Simplify right side
    374,682.74x = 96,643,607,148.08
  5. Step 5: Solve for x
    x = 96,643,607,148.08/374,682.74
  6. Step 6: Final answer
    x = 257,934.51

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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.