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Finding the Fourth Proportional to 311,706.56, 467,668.48 and 98,507.04

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Solution

The fourth proportional to 311,706.56, 467,668.48 and 98,507.04 is: 147,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,706.56 : 467,668.48 = 98,507.04 : x
  2. Step 2: Convert to fraction form
    311,706.56/467,668.48 = 98,507.04/x
  3. Step 3: Cross multiply
    311,706.56x = 467,668.48 × 98,507.04
  4. Step 4: Simplify right side
    311,706.56x = 46,068,637,666.10
  5. Step 5: Solve for x
    x = 46,068,637,666.10/311,706.56
  6. Step 6: Final answer
    x = 147,794.89

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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.