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Finding the Fourth Proportional to 329,698.95, 494,542.98 and 105,056.34

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Solution

The fourth proportional to 329,698.95, 494,542.98 and 105,056.34 is: 157,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,698.95 : 494,542.98 = 105,056.34 : x
  2. Step 2: Convert to fraction form
    329,698.95/494,542.98 = 105,056.34/x
  3. Step 3: Cross multiply
    329,698.95x = 494,542.98 × 105,056.34
  4. Step 4: Simplify right side
    329,698.95x = 51,954,875,451.49
  5. Step 5: Solve for x
    x = 51,954,875,451.49/329,698.95
  6. Step 6: Final answer
    x = 157,582.77

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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.