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Finding the Fourth Proportional to 300,674.64, 414,925.74 and 164,711.28

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Solution

The fourth proportional to 300,674.64, 414,925.74 and 164,711.28 is: 227,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,674.64 : 414,925.74 = 164,711.28 : x
  2. Step 2: Convert to fraction form
    300,674.64/414,925.74 = 164,711.28/x
  3. Step 3: Cross multiply
    300,674.64x = 414,925.74 × 164,711.28
  4. Step 4: Simplify right side
    300,674.64x = 68,342,949,740.35
  5. Step 5: Solve for x
    x = 68,342,949,740.35/300,674.64
  6. Step 6: Final answer
    x = 227,298.68

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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.