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Finding the Fourth Proportional to 1,409,828.94, 1,945,565.87 and 765,249.57

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Solution

The fourth proportional to 1,409,828.94, 1,945,565.87 and 765,249.57 is: 1,056,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,828.94 : 1,945,565.87 = 765,249.57 : x
  2. Step 2: Convert to fraction form
    1,409,828.94/1,945,565.87 = 765,249.57/x
  3. Step 3: Cross multiply
    1,409,828.94x = 1,945,565.87 × 765,249.57
  4. Step 4: Simplify right side
    1,409,828.94x = 1,488,843,441,597.93
  5. Step 5: Solve for x
    x = 1,488,843,441,597.93/1,409,828.94
  6. Step 6: Final answer
    x = 1,056,045.45

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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.