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Finding the Fourth Proportional to 301,642.86, 416,408.87 and 174,293.82

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Solution

The fourth proportional to 301,642.86, 416,408.87 and 174,293.82 is: 240,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,642.86 : 416,408.87 = 174,293.82 : x
  2. Step 2: Convert to fraction form
    301,642.86/416,408.87 = 174,293.82/x
  3. Step 3: Cross multiply
    301,642.86x = 416,408.87 × 174,293.82
  4. Step 4: Simplify right side
    301,642.86x = 72,577,492,634.18
  5. Step 5: Solve for x
    x = 72,577,492,634.18/301,642.86
  6. Step 6: Final answer
    x = 240,607.36

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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.