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Finding the Fourth Proportional to 325,477.34, 449,211.96 and 194,646.45

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Solution

The fourth proportional to 325,477.34, 449,211.96 and 194,646.45 is: 268,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,477.34 : 449,211.96 = 194,646.45 : x
  2. Step 2: Convert to fraction form
    325,477.34/449,211.96 = 194,646.45/x
  3. Step 3: Cross multiply
    325,477.34x = 449,211.96 × 194,646.45
  4. Step 4: Simplify right side
    325,477.34x = 87,437,510,897.07
  5. Step 5: Solve for x
    x = 87,437,510,897.07/325,477.34
  6. Step 6: Final answer
    x = 268,643.93

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Why These Related Problems?

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