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Finding the Fourth Proportional to 311,065.66, 467,160.57 and 286,059.58

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Solution

The fourth proportional to 311,065.66, 467,160.57 and 286,059.58 is: 429,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,065.66 : 467,160.57 = 286,059.58 : x
  2. Step 2: Convert to fraction form
    311,065.66/467,160.57 = 286,059.58/x
  3. Step 3: Cross multiply
    311,065.66x = 467,160.57 × 286,059.58
  4. Step 4: Simplify right side
    311,065.66x = 133,635,756,446.76
  5. Step 5: Solve for x
    x = 133,635,756,446.76/311,065.66
  6. Step 6: Final answer
    x = 429,606.27

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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.