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Finding the Fourth Proportional to 283,302.80, 424,079.40 and 164,621.60

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Solution

The fourth proportional to 283,302.80, 424,079.40 and 164,621.60 is: 246,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,302.80 : 424,079.40 = 164,621.60 : x
  2. Step 2: Convert to fraction form
    283,302.80/424,079.40 = 164,621.60/x
  3. Step 3: Cross multiply
    283,302.80x = 424,079.40 × 164,621.60
  4. Step 4: Simplify right side
    283,302.80x = 69,812,629,355.04
  5. Step 5: Solve for x
    x = 69,812,629,355.04/283,302.80
  6. Step 6: Final answer
    x = 246,424.07

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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.