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Finding the Fourth Proportional to 1,409,584.95, 1,945,227.20 and 765,005.13

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Solution

The fourth proportional to 1,409,584.95, 1,945,227.20 and 765,005.13 is: 1,055,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,584.95 : 1,945,227.20 = 765,005.13 : x
  2. Step 2: Convert to fraction form
    1,409,584.95/1,945,227.20 = 765,005.13/x
  3. Step 3: Cross multiply
    1,409,584.95x = 1,945,227.20 × 765,005.13
  4. Step 4: Simplify right side
    1,409,584.95x = 1,488,108,783,190.51
  5. Step 5: Solve for x
    x = 1,488,108,783,190.51/1,409,584.95
  6. Step 6: Final answer
    x = 1,055,707.06

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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.