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Finding the Fourth Proportional to 1,409,774.74, 1,945,491.10 and 765,195.08

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Solution

The fourth proportional to 1,409,774.74, 1,945,491.10 and 765,195.08 is: 1,055,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,774.74 : 1,945,491.10 = 765,195.08 : x
  2. Step 2: Convert to fraction form
    1,409,774.74/1,945,491.10 = 765,195.08/x
  3. Step 3: Cross multiply
    1,409,774.74x = 1,945,491.10 × 765,195.08
  4. Step 4: Simplify right side
    1,409,774.74x = 1,488,680,217,903.79
  5. Step 5: Solve for x
    x = 1,488,680,217,903.79/1,409,774.74
  6. Step 6: Final answer
    x = 1,055,970.27

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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.