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Finding the Fourth Proportional to 329,920.10, 495,128.94 and 241,401.98

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Solution

The fourth proportional to 329,920.10, 495,128.94 and 241,401.98 is: 362,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,920.10 : 495,128.94 = 241,401.98 : x
  2. Step 2: Convert to fraction form
    329,920.10/495,128.94 = 241,401.98/x
  3. Step 3: Cross multiply
    329,920.10x = 495,128.94 × 241,401.98
  4. Step 4: Simplify right side
    329,920.10x = 119,525,106,471.30
  5. Step 5: Solve for x
    x = 119,525,106,471.30/329,920.10
  6. Step 6: Final answer
    x = 362,285.01

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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.