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Finding the Fourth Proportional to 272,258.20, 407,415.30 and 172,466.20

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Solution

The fourth proportional to 272,258.20, 407,415.30 and 172,466.20 is: 258,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,258.20 : 407,415.30 = 172,466.20 : x
  2. Step 2: Convert to fraction form
    272,258.20/407,415.30 = 172,466.20/x
  3. Step 3: Cross multiply
    272,258.20x = 407,415.30 × 172,466.20
  4. Step 4: Simplify right side
    272,258.20x = 70,265,368,612.86
  5. Step 5: Solve for x
    x = 70,265,368,612.86/272,258.20
  6. Step 6: Final answer
    x = 258,083.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.