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Finding the Fourth Proportional to 657,093.12, 906,788.80 and 355,287.12

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Solution

The fourth proportional to 657,093.12, 906,788.80 and 355,287.12 is: 490,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,093.12 : 906,788.80 = 355,287.12 : x
  2. Step 2: Convert to fraction form
    657,093.12/906,788.80 = 355,287.12/x
  3. Step 3: Cross multiply
    657,093.12x = 906,788.80 × 355,287.12
  4. Step 4: Simplify right side
    657,093.12x = 322,170,381,200.26
  5. Step 5: Solve for x
    x = 322,170,381,200.26/657,093.12
  6. Step 6: Final answer
    x = 490,296.38

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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.