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Finding the Fourth Proportional to 301,637.34, 416,401.29 and 174,288.33

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Solution

The fourth proportional to 301,637.34, 416,401.29 and 174,288.33 is: 240,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,637.34 : 416,401.29 = 174,288.33 : x
  2. Step 2: Convert to fraction form
    301,637.34/416,401.29 = 174,288.33/x
  3. Step 3: Cross multiply
    301,637.34x = 416,401.29 × 174,288.33
  4. Step 4: Simplify right side
    301,637.34x = 72,573,885,443.95
  5. Step 5: Solve for x
    x = 72,573,885,443.95/301,637.34
  6. Step 6: Final answer
    x = 240,599.81

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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.