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Finding the Fourth Proportional to 713,805.97, 1,070,706.28 and 174,056.05

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Solution

The fourth proportional to 713,805.97, 1,070,706.28 and 174,056.05 is: 261,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,805.97 : 1,070,706.28 = 174,056.05 : x
  2. Step 2: Convert to fraction form
    713,805.97/1,070,706.28 = 174,056.05/x
  3. Step 3: Cross multiply
    713,805.97x = 1,070,706.28 × 174,056.05
  4. Step 4: Simplify right side
    713,805.97x = 186,362,905,806.99
  5. Step 5: Solve for x
    x = 186,362,905,806.99/713,805.97
  6. Step 6: Final answer
    x = 261,083.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.