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Finding the Fourth Proportional to 460,605.68, 690,384.41 and 280,293.42

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Solution

The fourth proportional to 460,605.68, 690,384.41 and 280,293.42 is: 420,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,605.68 : 690,384.41 = 280,293.42 : x
  2. Step 2: Convert to fraction form
    460,605.68/690,384.41 = 280,293.42/x
  3. Step 3: Cross multiply
    460,605.68x = 690,384.41 × 280,293.42
  4. Step 4: Simplify right side
    460,605.68x = 193,510,207,393.58
  5. Step 5: Solve for x
    x = 193,510,207,393.58/460,605.68
  6. Step 6: Final answer
    x = 420,121.19

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1.5x scale

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.