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Finding the Fourth Proportional to 229,204.60, 343,806.90 and 209,505.40

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Solution

The fourth proportional to 229,204.60, 343,806.90 and 209,505.40 is: 314,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,204.60 : 343,806.90 = 209,505.40 : x
  2. Step 2: Convert to fraction form
    229,204.60/343,806.90 = 209,505.40/x
  3. Step 3: Cross multiply
    229,204.60x = 343,806.90 × 209,505.40
  4. Step 4: Simplify right side
    229,204.60x = 72,029,402,107.26
  5. Step 5: Solve for x
    x = 72,029,402,107.26/229,204.60
  6. Step 6: Final answer
    x = 314,258.10

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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.