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Finding the Fourth Proportional to 235,763.20, 353,644.80 and 209,958.40

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Solution

The fourth proportional to 235,763.20, 353,644.80 and 209,958.40 is: 314,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,763.20 : 353,644.80 = 209,958.40 : x
  2. Step 2: Convert to fraction form
    235,763.20/353,644.80 = 209,958.40/x
  3. Step 3: Cross multiply
    235,763.20x = 353,644.80 × 209,958.40
  4. Step 4: Simplify right side
    235,763.20x = 74,250,696,376.32
  5. Step 5: Solve for x
    x = 74,250,696,376.32/235,763.20
  6. Step 6: Final answer
    x = 314,937.60

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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.