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Finding the Fourth Proportional to 397,461.90, 595,441.84 and 234,870.95

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Solution

The fourth proportional to 397,461.90, 595,441.84 and 234,870.95 is: 351,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,461.90 : 595,441.84 = 234,870.95 : x
  2. Step 2: Convert to fraction form
    397,461.90/595,441.84 = 234,870.95/x
  3. Step 3: Cross multiply
    397,461.90x = 595,441.84 × 234,870.95
  4. Step 4: Simplify right side
    397,461.90x = 139,851,990,630.55
  5. Step 5: Solve for x
    x = 139,851,990,630.55/397,461.90
  6. Step 6: Final answer
    x = 351,862.63

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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.