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Finding the Fourth Proportional to 294,497.51, 406,611.70 and 197,848.51

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Solution

The fourth proportional to 294,497.51, 406,611.70 and 197,848.51 is: 273,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,497.51 : 406,611.70 = 197,848.51 : x
  2. Step 2: Convert to fraction form
    294,497.51/406,611.70 = 197,848.51/x
  3. Step 3: Cross multiply
    294,497.51x = 406,611.70 × 197,848.51
  4. Step 4: Simplify right side
    294,497.51x = 80,447,517,482.42
  5. Step 5: Solve for x
    x = 80,447,517,482.42/294,497.51
  6. Step 6: Final answer
    x = 273,168.76

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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.