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Finding the Fourth Proportional to 314,883.10, 434,522.26 and 178,898.16

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Solution

The fourth proportional to 314,883.10, 434,522.26 and 178,898.16 is: 246,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,883.10 : 434,522.26 = 178,898.16 : x
  2. Step 2: Convert to fraction form
    314,883.10/434,522.26 = 178,898.16/x
  3. Step 3: Cross multiply
    314,883.10x = 434,522.26 × 178,898.16
  4. Step 4: Simplify right side
    314,883.10x = 77,735,232,793.04
  5. Step 5: Solve for x
    x = 77,735,232,793.04/314,883.10
  6. Step 6: Final answer
    x = 246,870.13

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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.