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Finding the Fourth Proportional to 311,528.02, 467,292.04 and 98,317.54

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Solution

The fourth proportional to 311,528.02, 467,292.04 and 98,317.54 is: 147,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,528.02 : 467,292.04 = 98,317.54 : x
  2. Step 2: Convert to fraction form
    311,528.02/467,292.04 = 98,317.54/x
  3. Step 3: Cross multiply
    311,528.02x = 467,292.04 × 98,317.54
  4. Step 4: Simplify right side
    311,528.02x = 45,943,003,834.38
  5. Step 5: Solve for x
    x = 45,943,003,834.38/311,528.02
  6. Step 6: Final answer
    x = 147,476.31

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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.