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Finding the Fourth Proportional to 657,055.38, 906,930.34 and 385,182.12

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Solution

The fourth proportional to 657,055.38, 906,930.34 and 385,182.12 is: 531,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,055.38 : 906,930.34 = 385,182.12 : x
  2. Step 2: Convert to fraction form
    657,055.38/906,930.34 = 385,182.12/x
  3. Step 3: Cross multiply
    657,055.38x = 906,930.34 × 385,182.12
  4. Step 4: Simplify right side
    657,055.38x = 349,333,351,053.52
  5. Step 5: Solve for x
    x = 349,333,351,053.52/657,055.38
  6. Step 6: Final answer
    x = 531,665.00

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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.