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Finding the Fourth Proportional to 289,695.20, 434,283.60 and 189,903.20

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Solution

The fourth proportional to 289,695.20, 434,283.60 and 189,903.20 is: 284,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,695.20 : 434,283.60 = 189,903.20 : x
  2. Step 2: Convert to fraction form
    289,695.20/434,283.60 = 189,903.20/x
  3. Step 3: Cross multiply
    289,695.20x = 434,283.60 × 189,903.20
  4. Step 4: Simplify right side
    289,695.20x = 82,471,845,347.52
  5. Step 5: Solve for x
    x = 82,471,845,347.52/289,695.20
  6. Step 6: Final answer
    x = 284,684.89

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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.