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Finding the Fourth Proportional to 289,363.80, 434,045.70 and 269,088.60

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Solution

The fourth proportional to 289,363.80, 434,045.70 and 269,088.60 is: 403,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,363.80 : 434,045.70 = 269,088.60 : x
  2. Step 2: Convert to fraction form
    289,363.80/434,045.70 = 269,088.60/x
  3. Step 3: Cross multiply
    289,363.80x = 434,045.70 × 269,088.60
  4. Step 4: Simplify right side
    289,363.80x = 116,796,749,749.02
  5. Step 5: Solve for x
    x = 116,796,749,749.02/289,363.80
  6. Step 6: Final answer
    x = 403,632.90

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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.