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Finding the Fourth Proportional to 441,197, 661,733.01 and 141,638.13

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Solution

The fourth proportional to 441,197, 661,733.01 and 141,638.13 is: 212,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,197 : 661,733.01 = 141,638.13 : x
  2. Step 2: Convert to fraction form
    441,197/661,733.01 = 141,638.13/x
  3. Step 3: Cross multiply
    441,197x = 661,733.01 × 141,638.13
  4. Step 4: Simplify right side
    441,197x = 93,726,626,095.67
  5. Step 5: Solve for x
    x = 93,726,626,095.67/441,197
  6. Step 6: Final answer
    x = 212,437.13

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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.