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Finding the Fourth Proportional to 392,075.64, 587,708.87 and 164,503.41

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Solution

The fourth proportional to 392,075.64, 587,708.87 and 164,503.41 is: 246,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,075.64 : 587,708.87 = 164,503.41 : x
  2. Step 2: Convert to fraction form
    392,075.64/587,708.87 = 164,503.41/x
  3. Step 3: Cross multiply
    392,075.64x = 587,708.87 × 164,503.41
  4. Step 4: Simplify right side
    392,075.64x = 96,680,112,790.99
  5. Step 5: Solve for x
    x = 96,680,112,790.99/392,075.64
  6. Step 6: Final answer
    x = 246,585.36

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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.