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Finding the Fourth Proportional to 1,409,938.50, 1,945,717.59 and 765,359.13

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Solution

The fourth proportional to 1,409,938.50, 1,945,717.59 and 765,359.13 is: 1,056,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,938.50 : 1,945,717.59 = 765,359.13 : x
  2. Step 2: Convert to fraction form
    1,409,938.50/1,945,717.59 = 765,359.13/x
  3. Step 3: Cross multiply
    1,409,938.50x = 1,945,717.59 × 765,359.13
  4. Step 4: Simplify right side
    1,409,938.50x = 1,489,172,721,908.10
  5. Step 5: Solve for x
    x = 1,489,172,721,908.10/1,409,938.50
  6. Step 6: Final answer
    x = 1,056,196.93

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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.