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Finding the Fourth Proportional to 329,645.95, 494,551.83 and 152,278.45

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Solution

The fourth proportional to 329,645.95, 494,551.83 and 152,278.45 is: 228,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,645.95 : 494,551.83 = 152,278.45 : x
  2. Step 2: Convert to fraction form
    329,645.95/494,551.83 = 152,278.45/x
  3. Step 3: Cross multiply
    329,645.95x = 494,551.83 × 152,278.45
  4. Step 4: Simplify right side
    329,645.95x = 75,309,586,117.06
  5. Step 5: Solve for x
    x = 75,309,586,117.06/329,645.95
  6. Step 6: Final answer
    x = 228,455.97

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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.