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Finding the Fourth Proportional to 289,740.66, 434,387.43 and 109,823.46

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Solution

The fourth proportional to 289,740.66, 434,387.43 and 109,823.46 is: 164,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,740.66 : 434,387.43 = 109,823.46 : x
  2. Step 2: Convert to fraction form
    289,740.66/434,387.43 = 109,823.46/x
  3. Step 3: Cross multiply
    289,740.66x = 434,387.43 × 109,823.46
  4. Step 4: Simplify right side
    289,740.66x = 47,705,930,543.11
  5. Step 5: Solve for x
    x = 47,705,930,543.11/289,740.66
  6. Step 6: Final answer
    x = 164,650.45

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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.