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Finding the Fourth Proportional to 633,624, 874,185.84 and 361,496.40

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Solution

The fourth proportional to 633,624, 874,185.84 and 361,496.40 is: 498,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,624 : 874,185.84 = 361,496.40 : x
  2. Step 2: Convert to fraction form
    633,624/874,185.84 = 361,496.40/x
  3. Step 3: Cross multiply
    633,624x = 874,185.84 × 361,496.40
  4. Step 4: Simplify right side
    633,624x = 316,015,034,090.98
  5. Step 5: Solve for x
    x = 316,015,034,090.98/633,624
  6. Step 6: Final answer
    x = 498,742.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.