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Finding the Fourth Proportional to 465,614.80, 697,961.40 and 228,763.60

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Solution

The fourth proportional to 465,614.80, 697,961.40 and 228,763.60 is: 342,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,614.80 : 697,961.40 = 228,763.60 : x
  2. Step 2: Convert to fraction form
    465,614.80/697,961.40 = 228,763.60/x
  3. Step 3: Cross multiply
    465,614.80x = 697,961.40 × 228,763.60
  4. Step 4: Simplify right side
    465,614.80x = 159,668,162,525.04
  5. Step 5: Solve for x
    x = 159,668,162,525.04/465,614.80
  6. Step 6: Final answer
    x = 342,919.00

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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.