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Finding the Fourth Proportional to 512,422.24, 707,135.29 and 282,989.23

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Solution

The fourth proportional to 512,422.24, 707,135.29 and 282,989.23 is: 390,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,422.24 : 707,135.29 = 282,989.23 : x
  2. Step 2: Convert to fraction form
    512,422.24/707,135.29 = 282,989.23/x
  3. Step 3: Cross multiply
    512,422.24x = 707,135.29 × 282,989.23
  4. Step 4: Simplify right side
    512,422.24x = 200,111,671,222.93
  5. Step 5: Solve for x
    x = 200,111,671,222.93/512,422.24
  6. Step 6: Final answer
    x = 390,521.05

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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.