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Finding the Fourth Proportional to 700,680, 966,942.24 and 382,728

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Solution

The fourth proportional to 700,680, 966,942.24 and 382,728 is: 528,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,680 : 966,942.24 = 382,728 : x
  2. Step 2: Convert to fraction form
    700,680/966,942.24 = 382,728/x
  3. Step 3: Cross multiply
    700,680x = 966,942.24 × 382,728
  4. Step 4: Simplify right side
    700,680x = 370,075,869,630.72
  5. Step 5: Solve for x
    x = 370,075,869,630.72/700,680
  6. Step 6: Final answer
    x = 528,166.74

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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.