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Finding the Fourth Proportional to 346,057.21, 477,447.16 and 193,070.64

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Solution

The fourth proportional to 346,057.21, 477,447.16 and 193,070.64 is: 266,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,057.21 : 477,447.16 = 193,070.64 : x
  2. Step 2: Convert to fraction form
    346,057.21/477,447.16 = 193,070.64/x
  3. Step 3: Cross multiply
    346,057.21x = 477,447.16 × 193,070.64
  4. Step 4: Simplify right side
    346,057.21x = 92,181,027,731.50
  5. Step 5: Solve for x
    x = 92,181,027,731.50/346,057.21
  6. Step 6: Final answer
    x = 266,375.11

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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.