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Finding the Fourth Proportional to 357,893.64, 493,902.66 and 194,561.13

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Solution

The fourth proportional to 357,893.64, 493,902.66 and 194,561.13 is: 268,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,893.64 : 493,902.66 = 194,561.13 : x
  2. Step 2: Convert to fraction form
    357,893.64/493,902.66 = 194,561.13/x
  3. Step 3: Cross multiply
    357,893.64x = 493,902.66 × 194,561.13
  4. Step 4: Simplify right side
    357,893.64x = 96,094,259,639.61
  5. Step 5: Solve for x
    x = 96,094,259,639.61/357,893.64
  6. Step 6: Final answer
    x = 268,499.49

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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.