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Finding the Fourth Proportional to 473,644.49, 710,972.51 and 203,906.12

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Solution

The fourth proportional to 473,644.49, 710,972.51 and 203,906.12 is: 306,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,644.49 : 710,972.51 = 203,906.12 : x
  2. Step 2: Convert to fraction form
    473,644.49/710,972.51 = 203,906.12/x
  3. Step 3: Cross multiply
    473,644.49x = 710,972.51 × 203,906.12
  4. Step 4: Simplify right side
    473,644.49x = 144,971,641,366.37
  5. Step 5: Solve for x
    x = 144,971,641,366.37/473,644.49
  6. Step 6: Final answer
    x = 306,076.91

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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.