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Finding the Fourth Proportional to 657,031.97, 906,705.48 and 355,225.97

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Solution

The fourth proportional to 657,031.97, 906,705.48 and 355,225.97 is: 490,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,031.97 : 906,705.48 = 355,225.97 : x
  2. Step 2: Convert to fraction form
    657,031.97/906,705.48 = 355,225.97/x
  3. Step 3: Cross multiply
    657,031.97x = 906,705.48 × 355,225.97
  4. Step 4: Simplify right side
    657,031.97x = 322,085,333,637.32
  5. Step 5: Solve for x
    x = 322,085,333,637.32/657,031.97
  6. Step 6: Final answer
    x = 490,212.57

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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.