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Finding the Fourth Proportional to 686,802.40, 1,030,187.40 and 188,166.40

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Solution

The fourth proportional to 686,802.40, 1,030,187.40 and 188,166.40 is: 282,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,802.40 : 1,030,187.40 = 188,166.40 : x
  2. Step 2: Convert to fraction form
    686,802.40/1,030,187.40 = 188,166.40/x
  3. Step 3: Cross multiply
    686,802.40x = 1,030,187.40 × 188,166.40
  4. Step 4: Simplify right side
    686,802.40x = 193,846,654,383.36
  5. Step 5: Solve for x
    x = 193,846,654,383.36/686,802.40
  6. Step 6: Final answer
    x = 282,245.16

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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.