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Finding the Fourth Proportional to 1,409,782.76, 1,945,502.01 and 765,202.78

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Solution

The fourth proportional to 1,409,782.76, 1,945,502.01 and 765,202.78 is: 1,055,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,782.76 : 1,945,502.01 = 765,202.78 : x
  2. Step 2: Convert to fraction form
    1,409,782.76/1,945,502.01 = 765,202.78/x
  3. Step 3: Cross multiply
    1,409,782.76x = 1,945,502.01 × 765,202.78
  4. Step 4: Simplify right side
    1,409,782.76x = 1,488,703,548,979.47
  5. Step 5: Solve for x
    x = 1,488,703,548,979.47/1,409,782.76
  6. Step 6: Final answer
    x = 1,055,980.82

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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.