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Finding the Fourth Proportional to 1,409,709.76, 1,945,347.43 and 765,116.11

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Solution

The fourth proportional to 1,409,709.76, 1,945,347.43 and 765,116.11 is: 1,055,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,709.76 : 1,945,347.43 = 765,116.11 : x
  2. Step 2: Convert to fraction form
    1,409,709.76/1,945,347.43 = 765,116.11/x
  3. Step 3: Cross multiply
    1,409,709.76x = 1,945,347.43 × 765,116.11
  4. Step 4: Simplify right side
    1,409,709.76x = 1,488,416,644,687.78
  5. Step 5: Solve for x
    x = 1,488,416,644,687.78/1,409,709.76
  6. Step 6: Final answer
    x = 1,055,831.98

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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.