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Finding the Fourth Proportional to 289,398.63, 434,114.34 and 89,747.40

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Solution

The fourth proportional to 289,398.63, 434,114.34 and 89,747.40 is: 134,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,398.63 : 434,114.34 = 89,747.40 : x
  2. Step 2: Convert to fraction form
    289,398.63/434,114.34 = 89,747.40/x
  3. Step 3: Cross multiply
    289,398.63x = 434,114.34 × 89,747.40
  4. Step 4: Simplify right side
    289,398.63x = 38,960,633,317.72
  5. Step 5: Solve for x
    x = 38,960,633,317.72/289,398.63
  6. Step 6: Final answer
    x = 134,626.18

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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.