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Finding the Fourth Proportional to 227,873.60, 314,465.28 and 127,271.60

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Solution

The fourth proportional to 227,873.60, 314,465.28 and 127,271.60 is: 175,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,873.60 : 314,465.28 = 127,271.60 : x
  2. Step 2: Convert to fraction form
    227,873.60/314,465.28 = 127,271.60/x
  3. Step 3: Cross multiply
    227,873.60x = 314,465.28 × 127,271.60
  4. Step 4: Simplify right side
    227,873.60x = 40,022,499,330.05
  5. Step 5: Solve for x
    x = 40,022,499,330.05/227,873.60
  6. Step 6: Final answer
    x = 175,634.65

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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.