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Finding the Fourth Proportional to 346,039.38, 477,770.40 and 223,827.93

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Solution

The fourth proportional to 346,039.38, 477,770.40 and 223,827.93 is: 309,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,039.38 : 477,770.40 = 223,827.93 : x
  2. Step 2: Convert to fraction form
    346,039.38/477,770.40 = 223,827.93/x
  3. Step 3: Cross multiply
    346,039.38x = 477,770.40 × 223,827.93
  4. Step 4: Simplify right side
    346,039.38x = 106,938,359,647.27
  5. Step 5: Solve for x
    x = 106,938,359,647.27/346,039.38
  6. Step 6: Final answer
    x = 309,035.23

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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.