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Finding the Fourth Proportional to 1,409,782.86, 1,945,502.34 and 765,203.19

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Solution

The fourth proportional to 1,409,782.86, 1,945,502.34 and 765,203.19 is: 1,055,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,782.86 : 1,945,502.34 = 765,203.19 : x
  2. Step 2: Convert to fraction form
    1,409,782.86/1,945,502.34 = 765,203.19/x
  3. Step 3: Cross multiply
    1,409,782.86x = 1,945,502.34 × 765,203.19
  4. Step 4: Simplify right side
    1,409,782.86x = 1,488,704,596,720.46
  5. Step 5: Solve for x
    x = 1,488,704,596,720.46/1,409,782.86
  6. Step 6: Final answer
    x = 1,055,981.48

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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.