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Finding the Fourth Proportional to 1,410,904.88, 1,947,062.88 and 766,337.68

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Solution

The fourth proportional to 1,410,904.88, 1,947,062.88 and 766,337.68 is: 1,057,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,904.88 : 1,947,062.88 = 766,337.68 : x
  2. Step 2: Convert to fraction form
    1,410,904.88/1,947,062.88 = 766,337.68/x
  3. Step 3: Cross multiply
    1,410,904.88x = 1,947,062.88 × 766,337.68
  4. Step 4: Simplify right side
    1,410,904.88x = 1,492,107,650,273.32
  5. Step 5: Solve for x
    x = 1,492,107,650,273.32/1,410,904.88
  6. Step 6: Final answer
    x = 1,057,553.68

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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.