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Finding the Fourth Proportional to 289,059.66, 433,683.78 and 129,116.10

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Solution

The fourth proportional to 289,059.66, 433,683.78 and 129,116.10 is: 193,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,059.66 : 433,683.78 = 129,116.10 : x
  2. Step 2: Convert to fraction form
    289,059.66/433,683.78 = 129,116.10/x
  3. Step 3: Cross multiply
    289,059.66x = 433,683.78 × 129,116.10
  4. Step 4: Simplify right side
    289,059.66x = 55,995,558,306.86
  5. Step 5: Solve for x
    x = 55,995,558,306.86/289,059.66
  6. Step 6: Final answer
    x = 193,716.27

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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.