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Finding the Fourth Proportional to 406,058.49, 560,361.78 and 224,782.92

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Solution

The fourth proportional to 406,058.49, 560,361.78 and 224,782.92 is: 310,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,058.49 : 560,361.78 = 224,782.92 : x
  2. Step 2: Convert to fraction form
    406,058.49/560,361.78 = 224,782.92/x
  3. Step 3: Cross multiply
    406,058.49x = 560,361.78 × 224,782.92
  4. Step 4: Simplify right side
    406,058.49x = 125,959,757,164.80
  5. Step 5: Solve for x
    x = 125,959,757,164.80/406,058.49
  6. Step 6: Final answer
    x = 310,201.02

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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.