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Finding the Fourth Proportional to 311,359.62, 429,527.13 and 299,288.58

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Solution

The fourth proportional to 311,359.62, 429,527.13 and 299,288.58 is: 412,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,359.62 : 429,527.13 = 299,288.58 : x
  2. Step 2: Convert to fraction form
    311,359.62/429,527.13 = 299,288.58/x
  3. Step 3: Cross multiply
    311,359.62x = 429,527.13 × 299,288.58
  4. Step 4: Simplify right side
    311,359.62x = 128,552,564,809.18
  5. Step 5: Solve for x
    x = 128,552,564,809.18/311,359.62
  6. Step 6: Final answer
    x = 412,874.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.