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Finding the Fourth Proportional to 657,726, 907,662.69 and 355,920

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Solution

The fourth proportional to 657,726, 907,662.69 and 355,920 is: 491,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,726 : 907,662.69 = 355,920 : x
  2. Step 2: Convert to fraction form
    657,726/907,662.69 = 355,920/x
  3. Step 3: Cross multiply
    657,726x = 907,662.69 × 355,920
  4. Step 4: Simplify right side
    657,726x = 323,055,304,624.80
  5. Step 5: Solve for x
    x = 323,055,304,624.80/657,726
  6. Step 6: Final answer
    x = 491,170.04

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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.