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Finding the Fourth Proportional to 330,897.64, 456,601.54 and 194,922.68

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Solution

The fourth proportional to 330,897.64, 456,601.54 and 194,922.68 is: 268,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,897.64 : 456,601.54 = 194,922.68 : x
  2. Step 2: Convert to fraction form
    330,897.64/456,601.54 = 194,922.68/x
  3. Step 3: Cross multiply
    330,897.64x = 456,601.54 × 194,922.68
  4. Step 4: Simplify right side
    330,897.64x = 89,001,995,868.93
  5. Step 5: Solve for x
    x = 89,001,995,868.93/330,897.64
  6. Step 6: Final answer
    x = 268,971.38

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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.