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Finding the Fourth Proportional to 289,809.68, 434,839.67 and 156,783.65

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Solution

The fourth proportional to 289,809.68, 434,839.67 and 156,783.65 is: 235,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.68 : 434,839.67 = 156,783.65 : x
  2. Step 2: Convert to fraction form
    289,809.68/434,839.67 = 156,783.65/x
  3. Step 3: Cross multiply
    289,809.68x = 434,839.67 × 156,783.65
  4. Step 4: Simplify right side
    289,809.68x = 68,175,750,627.40
  5. Step 5: Solve for x
    x = 68,175,750,627.40/289,809.68
  6. Step 6: Final answer
    x = 235,243.18

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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.