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Finding the Fourth Proportional to 227,924.75, 314,536.16 and 127,322.75

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Solution

The fourth proportional to 227,924.75, 314,536.16 and 127,322.75 is: 175,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,924.75 : 314,536.16 = 127,322.75 : x
  2. Step 2: Convert to fraction form
    227,924.75/314,536.16 = 127,322.75/x
  3. Step 3: Cross multiply
    227,924.75x = 314,536.16 × 127,322.75
  4. Step 4: Simplify right side
    227,924.75x = 40,047,608,865.64
  5. Step 5: Solve for x
    x = 40,047,608,865.64/227,924.75
  6. Step 6: Final answer
    x = 175,705.40

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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.