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Finding the Fourth Proportional to 473,765.06, 710,844.42 and 207,388.46

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Solution

The fourth proportional to 473,765.06, 710,844.42 and 207,388.46 is: 311,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,765.06 : 710,844.42 = 207,388.46 : x
  2. Step 2: Convert to fraction form
    473,765.06/710,844.42 = 207,388.46/x
  3. Step 3: Cross multiply
    473,765.06x = 710,844.42 × 207,388.46
  4. Step 4: Simplify right side
    473,765.06x = 147,420,929,563.39
  5. Step 5: Solve for x
    x = 147,420,929,563.39/473,765.06
  6. Step 6: Final answer
    x = 311,168.85

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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.