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Finding the Fourth Proportional to 1,411,632, 1,948,052.16 and 775,728

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Solution

The fourth proportional to 1,411,632, 1,948,052.16 and 775,728 is: 1,070,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,632 : 1,948,052.16 = 775,728 : x
  2. Step 2: Convert to fraction form
    1,411,632/1,948,052.16 = 775,728/x
  3. Step 3: Cross multiply
    1,411,632x = 1,948,052.16 × 775,728
  4. Step 4: Simplify right side
    1,411,632x = 1,511,158,605,972.48
  5. Step 5: Solve for x
    x = 1,511,158,605,972.48/1,411,632
  6. Step 6: Final answer
    x = 1,070,504.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.