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Finding the Fourth Proportional to 365,074.95, 546,868.82 and 297,846.57

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Solution

The fourth proportional to 365,074.95, 546,868.82 and 297,846.57 is: 446,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,074.95 : 546,868.82 = 297,846.57 : x
  2. Step 2: Convert to fraction form
    365,074.95/546,868.82 = 297,846.57/x
  3. Step 3: Cross multiply
    365,074.95x = 546,868.82 × 297,846.57
  4. Step 4: Simplify right side
    365,074.95x = 162,883,000,787.72
  5. Step 5: Solve for x
    x = 162,883,000,787.72/365,074.95
  6. Step 6: Final answer
    x = 446,163.18

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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.