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Finding the Fourth Proportional to 301,827.88, 416,558.82 and 174,534.76

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Solution

The fourth proportional to 301,827.88, 416,558.82 and 174,534.76 is: 240,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827.88 : 416,558.82 = 174,534.76 : x
  2. Step 2: Convert to fraction form
    301,827.88/416,558.82 = 174,534.76/x
  3. Step 3: Cross multiply
    301,827.88x = 416,558.82 × 174,534.76
  4. Step 4: Simplify right side
    301,827.88x = 72,703,993,674.58
  5. Step 5: Solve for x
    x = 72,703,993,674.58/301,827.88
  6. Step 6: Final answer
    x = 240,878.99

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