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Finding the Fourth Proportional to 1,429,362.84, 1,972,524.54 and 784,824.78

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Solution

The fourth proportional to 1,429,362.84, 1,972,524.54 and 784,824.78 is: 1,083,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,362.84 : 1,972,524.54 = 784,824.78 : x
  2. Step 2: Convert to fraction form
    1,429,362.84/1,972,524.54 = 784,824.78/x
  3. Step 3: Cross multiply
    1,429,362.84x = 1,972,524.54 × 784,824.78
  4. Step 4: Simplify right side
    1,429,362.84x = 1,548,086,138,150.10
  5. Step 5: Solve for x
    x = 1,548,086,138,150.10/1,429,362.84
  6. Step 6: Final answer
    x = 1,083,060.29

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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.