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Finding the Fourth Proportional to 511,915.34, 706,442.34 and 282,472.45

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Solution

The fourth proportional to 511,915.34, 706,442.34 and 282,472.45 is: 389,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,915.34 : 706,442.34 = 282,472.45 : x
  2. Step 2: Convert to fraction form
    511,915.34/706,442.34 = 282,472.45/x
  3. Step 3: Cross multiply
    511,915.34x = 706,442.34 × 282,472.45
  4. Step 4: Simplify right side
    511,915.34x = 199,550,493,618.96
  5. Step 5: Solve for x
    x = 199,550,493,618.96/511,915.34
  6. Step 6: Final answer
    x = 389,811.51

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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.