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Finding the Fourth Proportional to 289,690.40, 434,535.60 and 205,709.60

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Solution

The fourth proportional to 289,690.40, 434,535.60 and 205,709.60 is: 308,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,690.40 : 434,535.60 = 205,709.60 : x
  2. Step 2: Convert to fraction form
    289,690.40/434,535.60 = 205,709.60/x
  3. Step 3: Cross multiply
    289,690.40x = 434,535.60 × 205,709.60
  4. Step 4: Simplify right side
    289,690.40x = 89,388,144,461.76
  5. Step 5: Solve for x
    x = 89,388,144,461.76/289,690.40
  6. Step 6: Final answer
    x = 308,564.40

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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.