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Finding the Fourth Proportional to 295,873.40, 444,101.70 and 146,282.60

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Solution

The fourth proportional to 295,873.40, 444,101.70 and 146,282.60 is: 219,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,873.40 : 444,101.70 = 146,282.60 : x
  2. Step 2: Convert to fraction form
    295,873.40/444,101.70 = 146,282.60/x
  3. Step 3: Cross multiply
    295,873.40x = 444,101.70 × 146,282.60
  4. Step 4: Simplify right side
    295,873.40x = 64,964,351,340.42
  5. Step 5: Solve for x
    x = 64,964,351,340.42/295,873.40
  6. Step 6: Final answer
    x = 219,568.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.