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Finding the Fourth Proportional to 685,753.68, 1,028,794.68 and 286,172.16

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Solution

The fourth proportional to 685,753.68, 1,028,794.68 and 286,172.16 is: 429,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,753.68 : 1,028,794.68 = 286,172.16 : x
  2. Step 2: Convert to fraction form
    685,753.68/1,028,794.68 = 286,172.16/x
  3. Step 3: Cross multiply
    685,753.68x = 1,028,794.68 × 286,172.16
  4. Step 4: Simplify right side
    685,753.68x = 294,412,395,772.11
  5. Step 5: Solve for x
    x = 294,412,395,772.11/685,753.68
  6. Step 6: Final answer
    x = 429,326.75

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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.