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Finding the Fourth Proportional to 508,573.64, 701,864.46 and 282,219.12

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Solution

The fourth proportional to 508,573.64, 701,864.46 and 282,219.12 is: 389,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,573.64 : 701,864.46 = 282,219.12 : x
  2. Step 2: Convert to fraction form
    508,573.64/701,864.46 = 282,219.12/x
  3. Step 3: Cross multiply
    508,573.64x = 701,864.46 × 282,219.12
  4. Step 4: Simplify right side
    508,573.64x = 198,079,570,260.48
  5. Step 5: Solve for x
    x = 198,079,570,260.48/508,573.64
  6. Step 6: Final answer
    x = 389,480.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.