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Finding the Fourth Proportional to 406,809.12, 561,395.04 and 227,961.12

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Solution

The fourth proportional to 406,809.12, 561,395.04 and 227,961.12 is: 314,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,809.12 : 561,395.04 = 227,961.12 : x
  2. Step 2: Convert to fraction form
    406,809.12/561,395.04 = 227,961.12/x
  3. Step 3: Cross multiply
    406,809.12x = 561,395.04 × 227,961.12
  4. Step 4: Simplify right side
    406,809.12x = 127,976,242,080.85
  5. Step 5: Solve for x
    x = 127,976,242,080.85/406,809.12
  6. Step 6: Final answer
    x = 314,585.48

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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.