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Finding the Fourth Proportional to 460,543.81, 690,052 and 280,083.40

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Solution

The fourth proportional to 460,543.81, 690,052 and 280,083.40 is: 419,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,543.81 : 690,052 = 280,083.40 : x
  2. Step 2: Convert to fraction form
    460,543.81/690,052 = 280,083.40/x
  3. Step 3: Cross multiply
    460,543.81x = 690,052 × 280,083.40
  4. Step 4: Simplify right side
    460,543.81x = 193,272,110,336.80
  5. Step 5: Solve for x
    x = 193,272,110,336.80/460,543.81
  6. Step 6: Final answer
    x = 419,660.64

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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.