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Finding the Fourth Proportional to 657,190.38, 906,922.76 and 355,384.38

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Solution

The fourth proportional to 657,190.38, 906,922.76 and 355,384.38 is: 490,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,190.38 : 906,922.76 = 355,384.38 : x
  2. Step 2: Convert to fraction form
    657,190.38/906,922.76 = 355,384.38/x
  3. Step 3: Cross multiply
    657,190.38x = 906,922.76 × 355,384.38
  4. Step 4: Simplify right side
    657,190.38x = 322,306,182,770.49
  5. Step 5: Solve for x
    x = 322,306,182,770.49/657,190.38
  6. Step 6: Final answer
    x = 490,430.46

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Why These Related Problems?

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