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Finding the Fourth Proportional to 657,588.38, 907,471.96 and 355,782.38

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Solution

The fourth proportional to 657,588.38, 907,471.96 and 355,782.38 is: 490,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,588.38 : 907,471.96 = 355,782.38 : x
  2. Step 2: Convert to fraction form
    657,588.38/907,471.96 = 355,782.38/x
  3. Step 3: Cross multiply
    657,588.38x = 907,471.96 × 355,782.38
  4. Step 4: Simplify right side
    657,588.38x = 322,862,528,285.25
  5. Step 5: Solve for x
    x = 322,862,528,285.25/657,588.38
  6. Step 6: Final answer
    x = 490,979.68

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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.