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Finding the Fourth Proportional to 657,164.55, 906,887.16 and 355,358.55

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Solution

The fourth proportional to 657,164.55, 906,887.16 and 355,358.55 is: 490,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,164.55 : 906,887.16 = 355,358.55 : x
  2. Step 2: Convert to fraction form
    657,164.55/906,887.16 = 355,358.55/x
  3. Step 3: Cross multiply
    657,164.55x = 906,887.16 × 355,358.55
  4. Step 4: Simplify right side
    657,164.55x = 322,270,106,191.22
  5. Step 5: Solve for x
    x = 322,270,106,191.22/657,164.55
  6. Step 6: Final answer
    x = 490,394.84

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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.