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Finding the Fourth Proportional to 314,712.18, 434,297.34 and 171,473.40

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Solution

The fourth proportional to 314,712.18, 434,297.34 and 171,473.40 is: 236,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,712.18 : 434,297.34 = 171,473.40 : x
  2. Step 2: Convert to fraction form
    314,712.18/434,297.34 = 171,473.40/x
  3. Step 3: Cross multiply
    314,712.18x = 434,297.34 × 171,473.40
  4. Step 4: Simplify right side
    314,712.18x = 74,470,441,500.76
  5. Step 5: Solve for x
    x = 74,470,441,500.76/314,712.18
  6. Step 6: Final answer
    x = 236,630.31

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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.