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Finding the Fourth Proportional to 419,021.90, 578,263.32 and 237,741.46

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Solution

The fourth proportional to 419,021.90, 578,263.32 and 237,741.46 is: 328,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,021.90 : 578,263.32 = 237,741.46 : x
  2. Step 2: Convert to fraction form
    419,021.90/578,263.32 = 237,741.46/x
  3. Step 3: Cross multiply
    419,021.90x = 578,263.32 × 237,741.46
  4. Step 4: Simplify right side
    419,021.90x = 137,477,165,961.25
  5. Step 5: Solve for x
    x = 137,477,165,961.25/419,021.90
  6. Step 6: Final answer
    x = 328,090.65

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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.