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Finding the Fourth Proportional to 346,336.30, 477,942.06 and 193,365.64

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Solution

The fourth proportional to 346,336.30, 477,942.06 and 193,365.64 is: 266,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,336.30 : 477,942.06 = 193,365.64 : x
  2. Step 2: Convert to fraction form
    346,336.30/477,942.06 = 193,365.64/x
  3. Step 3: Cross multiply
    346,336.30x = 477,942.06 × 193,365.64
  4. Step 4: Simplify right side
    346,336.30x = 92,417,572,314.82
  5. Step 5: Solve for x
    x = 92,417,572,314.82/346,336.30
  6. Step 6: Final answer
    x = 266,843.45

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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.