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Finding the Fourth Proportional to 301,541.31, 416,127.57 and 174,216.99

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Solution

The fourth proportional to 301,541.31, 416,127.57 and 174,216.99 is: 240,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,541.31 : 416,127.57 = 174,216.99 : x
  2. Step 2: Convert to fraction form
    301,541.31/416,127.57 = 174,216.99/x
  3. Step 3: Cross multiply
    301,541.31x = 416,127.57 × 174,216.99
  4. Step 4: Simplify right side
    301,541.31x = 72,496,492,701.41
  5. Step 5: Solve for x
    x = 72,496,492,701.41/301,541.31
  6. Step 6: Final answer
    x = 240,419.77

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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.