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Finding the Fourth Proportional to 289,948.40, 434,922.60 and 205,967.60

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Solution

The fourth proportional to 289,948.40, 434,922.60 and 205,967.60 is: 308,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,948.40 : 434,922.60 = 205,967.60 : x
  2. Step 2: Convert to fraction form
    289,948.40/434,922.60 = 205,967.60/x
  3. Step 3: Cross multiply
    289,948.40x = 434,922.60 × 205,967.60
  4. Step 4: Simplify right side
    289,948.40x = 89,579,964,107.76
  5. Step 5: Solve for x
    x = 89,579,964,107.76/289,948.40
  6. Step 6: Final answer
    x = 308,951.40

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1.5x scale

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.