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Finding the Fourth Proportional to 657,195.38, 906,929.68 and 355,389.38

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Solution

The fourth proportional to 657,195.38, 906,929.68 and 355,389.38 is: 490,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,195.38 : 906,929.68 = 355,389.38 : x
  2. Step 2: Convert to fraction form
    657,195.38/906,929.68 = 355,389.38/x
  3. Step 3: Cross multiply
    657,195.38x = 906,929.68 × 355,389.38
  4. Step 4: Simplify right side
    657,195.38x = 322,313,176,678.80
  5. Step 5: Solve for x
    x = 322,313,176,678.80/657,195.38
  6. Step 6: Final answer
    x = 490,437.37

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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.