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Finding the Fourth Proportional to 657,588, 907,616.40 and 427,744.80

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Solution

The fourth proportional to 657,588, 907,616.40 and 427,744.80 is: 590,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,588 : 907,616.40 = 427,744.80 : x
  2. Step 2: Convert to fraction form
    657,588/907,616.40 = 427,744.80/x
  3. Step 3: Cross multiply
    657,588x = 907,616.40 × 427,744.80
  4. Step 4: Simplify right side
    657,588x = 388,228,195,494.72
  5. Step 5: Solve for x
    x = 388,228,195,494.72/657,588
  6. Step 6: Final answer
    x = 590,382.12

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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.