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Finding the Fourth Proportional to 364,442.88, 546,822.16 and 195,766.32

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Solution

The fourth proportional to 364,442.88, 546,822.16 and 195,766.32 is: 293,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,442.88 : 546,822.16 = 195,766.32 : x
  2. Step 2: Convert to fraction form
    364,442.88/546,822.16 = 195,766.32/x
  3. Step 3: Cross multiply
    364,442.88x = 546,822.16 × 195,766.32
  4. Step 4: Simplify right side
    364,442.88x = 107,049,361,957.65
  5. Step 5: Solve for x
    x = 107,049,361,957.65/364,442.88
  6. Step 6: Final answer
    x = 293,734.27

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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.