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Finding the Fourth Proportional to 783,527.84, 1,081,499.48 and 511,638

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Solution

The fourth proportional to 783,527.84, 1,081,499.48 and 511,638 is: 706,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,527.84 : 1,081,499.48 = 511,638 : x
  2. Step 2: Convert to fraction form
    783,527.84/1,081,499.48 = 511,638/x
  3. Step 3: Cross multiply
    783,527.84x = 1,081,499.48 × 511,638
  4. Step 4: Simplify right side
    783,527.84x = 553,336,230,948.24
  5. Step 5: Solve for x
    x = 553,336,230,948.24/783,527.84
  6. Step 6: Final answer
    x = 706,211.32

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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.