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Finding the Fourth Proportional to 346,126.53, 477,678.56 and 193,194.48

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Solution

The fourth proportional to 346,126.53, 477,678.56 and 193,194.48 is: 266,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,126.53 : 477,678.56 = 193,194.48 : x
  2. Step 2: Convert to fraction form
    346,126.53/477,678.56 = 193,194.48/x
  3. Step 3: Cross multiply
    346,126.53x = 477,678.56 × 193,194.48
  4. Step 4: Simplify right side
    346,126.53x = 92,284,860,040.38
  5. Step 5: Solve for x
    x = 92,284,860,040.38/346,126.53
  6. Step 6: Final answer
    x = 266,621.75

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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.