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Finding the Fourth Proportional to 406,727.40, 561,317.40 and 225,496.16

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Solution

The fourth proportional to 406,727.40, 561,317.40 and 225,496.16 is: 311,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,727.40 : 561,317.40 = 225,496.16 : x
  2. Step 2: Convert to fraction form
    406,727.40/561,317.40 = 225,496.16/x
  3. Step 3: Cross multiply
    406,727.40x = 561,317.40 × 225,496.16
  4. Step 4: Simplify right side
    406,727.40x = 126,574,918,241.18
  5. Step 5: Solve for x
    x = 126,574,918,241.18/406,727.40
  6. Step 6: Final answer
    x = 311,203.32

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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.