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Finding the Fourth Proportional to 662,698.20, 994,047.30 and 463,243.80

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Solution

The fourth proportional to 662,698.20, 994,047.30 and 463,243.80 is: 694,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,698.20 : 994,047.30 = 463,243.80 : x
  2. Step 2: Convert to fraction form
    662,698.20/994,047.30 = 463,243.80/x
  3. Step 3: Cross multiply
    662,698.20x = 994,047.30 × 463,243.80
  4. Step 4: Simplify right side
    662,698.20x = 460,486,248,631.74
  5. Step 5: Solve for x
    x = 460,486,248,631.74/662,698.20
  6. Step 6: Final answer
    x = 694,865.70

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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.