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Finding the Fourth Proportional to 382,013.40, 571,853.70 and 298,032.60

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Solution

The fourth proportional to 382,013.40, 571,853.70 and 298,032.60 is: 446,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,013.40 : 571,853.70 = 298,032.60 : x
  2. Step 2: Convert to fraction form
    382,013.40/571,853.70 = 298,032.60/x
  3. Step 3: Cross multiply
    382,013.40x = 571,853.70 × 298,032.60
  4. Step 4: Simplify right side
    382,013.40x = 170,431,045,030.62
  5. Step 5: Solve for x
    x = 170,431,045,030.62/382,013.40
  6. Step 6: Final answer
    x = 446,138.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.