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Finding the Fourth Proportional to 301,715.96, 416,321.74 and 174,366.96

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Solution

The fourth proportional to 301,715.96, 416,321.74 and 174,366.96 is: 240,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,715.96 : 416,321.74 = 174,366.96 : x
  2. Step 2: Convert to fraction form
    301,715.96/416,321.74 = 174,366.96/x
  3. Step 3: Cross multiply
    301,715.96x = 416,321.74 × 174,366.96
  4. Step 4: Simplify right side
    301,715.96x = 72,592,756,185.71
  5. Step 5: Solve for x
    x = 72,592,756,185.71/301,715.96
  6. Step 6: Final answer
    x = 240,599.66

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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.