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Finding the Fourth Proportional to 1,294,704, 1,942,056 and 408,240

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Solution

The fourth proportional to 1,294,704, 1,942,056 and 408,240 is: 612,360

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,704 : 1,942,056 = 408,240 : x
  2. Step 2: Convert to fraction form
    1,294,704/1,942,056 = 408,240/x
  3. Step 3: Cross multiply
    1,294,704x = 1,942,056 × 408,240
  4. Step 4: Simplify right side
    1,294,704x = 792,824,941,440
  5. Step 5: Solve for x
    x = 792,824,941,440/1,294,704
  6. Step 6: Final answer
    x = 612,360

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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.