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Finding the Fourth Proportional to 1,409,965.71, 1,945,755.17 and 765,386.34

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Solution

The fourth proportional to 1,409,965.71, 1,945,755.17 and 765,386.34 is: 1,056,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,965.71 : 1,945,755.17 = 765,386.34 : x
  2. Step 2: Convert to fraction form
    1,409,965.71/1,945,755.17 = 765,386.34/x
  3. Step 3: Cross multiply
    1,409,965.71x = 1,945,755.17 × 765,386.34
  4. Step 4: Simplify right side
    1,409,965.71x = 1,489,254,424,275.45
  5. Step 5: Solve for x
    x = 1,489,254,424,275.45/1,409,965.71
  6. Step 6: Final answer
    x = 1,056,234.50

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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.