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Finding the Fourth Proportional to 473,380.20, 709,851.60 and 207,003.60

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Solution

The fourth proportional to 473,380.20, 709,851.60 and 207,003.60 is: 310,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,380.20 : 709,851.60 = 207,003.60 : x
  2. Step 2: Convert to fraction form
    473,380.20/709,851.60 = 207,003.60/x
  3. Step 3: Cross multiply
    473,380.20x = 709,851.60 × 207,003.60
  4. Step 4: Simplify right side
    473,380.20x = 146,941,836,665.76
  5. Step 5: Solve for x
    x = 146,941,836,665.76/473,380.20
  6. Step 6: Final answer
    x = 310,409.77

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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.