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Finding the Fourth Proportional to 657,202.24, 906,938.80 and 355,396.24

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Solution

The fourth proportional to 657,202.24, 906,938.80 and 355,396.24 is: 490,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,202.24 : 906,938.80 = 355,396.24 : x
  2. Step 2: Convert to fraction form
    657,202.24/906,938.80 = 355,396.24/x
  3. Step 3: Cross multiply
    657,202.24x = 906,938.80 × 355,396.24
  4. Step 4: Simplify right side
    657,202.24x = 322,322,639,430.11
  5. Step 5: Solve for x
    x = 322,322,639,430.11/657,202.24
  6. Step 6: Final answer
    x = 490,446.65

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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.