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Finding the Fourth Proportional to 473,108.20, 709,443.60 and 206,731.60

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Solution

The fourth proportional to 473,108.20, 709,443.60 and 206,731.60 is: 310,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,108.20 : 709,443.60 = 206,731.60 : x
  2. Step 2: Convert to fraction form
    473,108.20/709,443.60 = 206,731.60/x
  3. Step 3: Cross multiply
    473,108.20x = 709,443.60 × 206,731.60
  4. Step 4: Simplify right side
    473,108.20x = 146,664,410,537.76
  5. Step 5: Solve for x
    x = 146,664,410,537.76/473,108.20
  6. Step 6: Final answer
    x = 310,001.84

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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.