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Finding the Fourth Proportional to 289,808.68, 434,838.17 and 156,782.65

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Solution

The fourth proportional to 289,808.68, 434,838.17 and 156,782.65 is: 235,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,808.68 : 434,838.17 = 156,782.65 : x
  2. Step 2: Convert to fraction form
    289,808.68/434,838.17 = 156,782.65/x
  3. Step 3: Cross multiply
    289,808.68x = 434,838.17 × 156,782.65
  4. Step 4: Simplify right side
    289,808.68x = 68,175,079,829.84
  5. Step 5: Solve for x
    x = 68,175,079,829.84/289,808.68
  6. Step 6: Final answer
    x = 235,241.68

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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.