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Finding the Fourth Proportional to 289,328.68, 434,059.26 and 111,837.16

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Solution

The fourth proportional to 289,328.68, 434,059.26 and 111,837.16 is: 167,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,328.68 : 434,059.26 = 111,837.16 : x
  2. Step 2: Convert to fraction form
    289,328.68/434,059.26 = 111,837.16/x
  3. Step 3: Cross multiply
    289,328.68x = 434,059.26 × 111,837.16
  4. Step 4: Simplify right side
    289,328.68x = 48,543,954,910.10
  5. Step 5: Solve for x
    x = 48,543,954,910.10/289,328.68
  6. Step 6: Final answer
    x = 167,781.34

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1.5x scale

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.