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Finding the Fourth Proportional to 301,684.68, 416,466.36 and 174,335.40

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Solution

The fourth proportional to 301,684.68, 416,466.36 and 174,335.40 is: 240,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,684.68 : 416,466.36 = 174,335.40 : x
  2. Step 2: Convert to fraction form
    301,684.68/416,466.36 = 174,335.40/x
  3. Step 3: Cross multiply
    301,684.68x = 416,466.36 × 174,335.40
  4. Step 4: Simplify right side
    301,684.68x = 72,604,829,457.14
  5. Step 5: Solve for x
    x = 72,604,829,457.14/301,684.68
  6. Step 6: Final answer
    x = 240,664.62

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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.