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Finding the Fourth Proportional to 1,409,738.49, 1,945,386.93 and 765,144.84

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Solution

The fourth proportional to 1,409,738.49, 1,945,386.93 and 765,144.84 is: 1,055,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,738.49 : 1,945,386.93 = 765,144.84 : x
  2. Step 2: Convert to fraction form
    1,409,738.49/1,945,386.93 = 765,144.84/x
  3. Step 3: Cross multiply
    1,409,738.49x = 1,945,386.93 × 765,144.84
  4. Step 4: Simplify right side
    1,409,738.49x = 1,488,502,771,292.94
  5. Step 5: Solve for x
    x = 1,488,502,771,292.94/1,409,738.49
  6. Step 6: Final answer
    x = 1,055,871.55

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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.