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Finding the Fourth Proportional to 657,068.25, 906,754.19 and 355,262.25

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Solution

The fourth proportional to 657,068.25, 906,754.19 and 355,262.25 is: 490,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,068.25 : 906,754.19 = 355,262.25 : x
  2. Step 2: Convert to fraction form
    657,068.25/906,754.19 = 355,262.25/x
  3. Step 3: Cross multiply
    657,068.25x = 906,754.19 × 355,262.25
  4. Step 4: Simplify right side
    657,068.25x = 322,135,531,960.02
  5. Step 5: Solve for x
    x = 322,135,531,960.02/657,068.25
  6. Step 6: Final answer
    x = 490,261.91

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1.5x scale

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.