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Finding the Fourth Proportional to 713,457.49, 1,070,205.72 and 208,006.25

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Solution

The fourth proportional to 713,457.49, 1,070,205.72 and 208,006.25 is: 312,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,457.49 : 1,070,205.72 = 208,006.25 : x
  2. Step 2: Convert to fraction form
    713,457.49/1,070,205.72 = 208,006.25/x
  3. Step 3: Cross multiply
    713,457.49x = 1,070,205.72 × 208,006.25
  4. Step 4: Simplify right side
    713,457.49x = 222,609,481,444.56
  5. Step 5: Solve for x
    x = 222,609,481,444.56/713,457.49
  6. Step 6: Final answer
    x = 312,015.06

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