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Finding the Fourth Proportional to 419,195.66, 578,391.64 and 237,866.63

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Solution

The fourth proportional to 419,195.66, 578,391.64 and 237,866.63 is: 328,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,195.66 : 578,391.64 = 237,866.63 : x
  2. Step 2: Convert to fraction form
    419,195.66/578,391.64 = 237,866.63/x
  3. Step 3: Cross multiply
    419,195.66x = 578,391.64 × 237,866.63
  4. Step 4: Simplify right side
    419,195.66x = 137,580,066,740.35
  5. Step 5: Solve for x
    x = 137,580,066,740.35/419,195.66
  6. Step 6: Final answer
    x = 328,200.13

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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.