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Finding the Fourth Proportional to 314,968.60, 471,016.50 and 235,063

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Solution

The fourth proportional to 314,968.60, 471,016.50 and 235,063 is: 351,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,968.60 : 471,016.50 = 235,063 : x
  2. Step 2: Convert to fraction form
    314,968.60/471,016.50 = 235,063/x
  3. Step 3: Cross multiply
    314,968.60x = 471,016.50 × 235,063
  4. Step 4: Simplify right side
    314,968.60x = 110,718,551,539.50
  5. Step 5: Solve for x
    x = 110,718,551,539.50/314,968.60
  6. Step 6: Final answer
    x = 351,522.51

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Why These Related Problems?

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