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Finding the Fourth Proportional to 697,136.80, 1,043,080.80 and 460,940.80

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Solution

The fourth proportional to 697,136.80, 1,043,080.80 and 460,940.80 is: 689,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,136.80 : 1,043,080.80 = 460,940.80 : x
  2. Step 2: Convert to fraction form
    697,136.80/1,043,080.80 = 460,940.80/x
  3. Step 3: Cross multiply
    697,136.80x = 1,043,080.80 × 460,940.80
  4. Step 4: Simplify right side
    697,136.80x = 480,798,498,416.64
  5. Step 5: Solve for x
    x = 480,798,498,416.64/697,136.80
  6. Step 6: Final answer
    x = 689,675.97

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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.