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Finding the Fourth Proportional to 365,205.42, 504,303.84 and 229,474.80

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Solution

The fourth proportional to 365,205.42, 504,303.84 and 229,474.80 is: 316,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,205.42 : 504,303.84 = 229,474.80 : x
  2. Step 2: Convert to fraction form
    365,205.42/504,303.84 = 229,474.80/x
  3. Step 3: Cross multiply
    365,205.42x = 504,303.84 × 229,474.80
  4. Step 4: Simplify right side
    365,205.42x = 115,725,022,823.23
  5. Step 5: Solve for x
    x = 115,725,022,823.23/365,205.42
  6. Step 6: Final answer
    x = 316,876.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.