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Finding the Fourth Proportional to 318,532.97, 477,274.31 and 185,038.49

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Solution

The fourth proportional to 318,532.97, 477,274.31 and 185,038.49 is: 277,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,532.97 : 477,274.31 = 185,038.49 : x
  2. Step 2: Convert to fraction form
    318,532.97/477,274.31 = 185,038.49/x
  3. Step 3: Cross multiply
    318,532.97x = 477,274.31 × 185,038.49
  4. Step 4: Simplify right side
    318,532.97x = 88,314,116,713.00
  5. Step 5: Solve for x
    x = 88,314,116,713.00/318,532.97
  6. Step 6: Final answer
    x = 277,252.67

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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.