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Finding the Fourth Proportional to 631,486.94, 946,592.14 and 271,892.34

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Solution

The fourth proportional to 631,486.94, 946,592.14 and 271,892.34 is: 407,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,486.94 : 946,592.14 = 271,892.34 : x
  2. Step 2: Convert to fraction form
    631,486.94/946,592.14 = 271,892.34/x
  3. Step 3: Cross multiply
    631,486.94x = 946,592.14 × 271,892.34
  4. Step 4: Simplify right side
    631,486.94x = 257,371,151,970.21
  5. Step 5: Solve for x
    x = 257,371,151,970.21/631,486.94
  6. Step 6: Final answer
    x = 407,563.70

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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.