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Finding the Fourth Proportional to 466,564.64, 699,674.88 and 166,964

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Solution

The fourth proportional to 466,564.64, 699,674.88 and 166,964 is: 250,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,564.64 : 699,674.88 = 166,964 : x
  2. Step 2: Convert to fraction form
    466,564.64/699,674.88 = 166,964/x
  3. Step 3: Cross multiply
    466,564.64x = 699,674.88 × 166,964
  4. Step 4: Simplify right side
    466,564.64x = 116,820,516,664.32
  5. Step 5: Solve for x
    x = 116,820,516,664.32/466,564.64
  6. Step 6: Final answer
    x = 250,384.42

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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.