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Finding the Fourth Proportional to 334,465, 501,692.42 and 231,787.60

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Solution

The fourth proportional to 334,465, 501,692.42 and 231,787.60 is: 347,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,465 : 501,692.42 = 231,787.60 : x
  2. Step 2: Convert to fraction form
    334,465/501,692.42 = 231,787.60/x
  3. Step 3: Cross multiply
    334,465x = 501,692.42 × 231,787.60
  4. Step 4: Simplify right side
    334,465x = 116,286,080,811.05
  5. Step 5: Solve for x
    x = 116,286,080,811.05/334,465
  6. Step 6: Final answer
    x = 347,677.88

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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.