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Finding the Fourth Proportional to 289,460.07, 434,186.19 and 129,493.71

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Solution

The fourth proportional to 289,460.07, 434,186.19 and 129,493.71 is: 194,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,460.07 : 434,186.19 = 129,493.71 : x
  2. Step 2: Convert to fraction form
    289,460.07/434,186.19 = 129,493.71/x
  3. Step 3: Cross multiply
    289,460.07x = 434,186.19 × 129,493.71
  4. Step 4: Simplify right side
    289,460.07x = 56,224,380,573.86
  5. Step 5: Solve for x
    x = 56,224,380,573.86/289,460.07
  6. Step 6: Final answer
    x = 194,238.81

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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.