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Finding the Fourth Proportional to 310,720.25, 428,852.84 and 194,487.63

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Solution

The fourth proportional to 310,720.25, 428,852.84 and 194,487.63 is: 268,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,720.25 : 428,852.84 = 194,487.63 : x
  2. Step 2: Convert to fraction form
    310,720.25/428,852.84 = 194,487.63/x
  3. Step 3: Cross multiply
    310,720.25x = 428,852.84 × 194,487.63
  4. Step 4: Simplify right side
    310,720.25x = 83,406,571,497.93
  5. Step 5: Solve for x
    x = 83,406,571,497.93/310,720.25
  6. Step 6: Final answer
    x = 268,429.79

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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.