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Finding the Fourth Proportional to 785,758.12, 1,179,153.42 and 431,021.32

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Solution

The fourth proportional to 785,758.12, 1,179,153.42 and 431,021.32 is: 646,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,758.12 : 1,179,153.42 = 431,021.32 : x
  2. Step 2: Convert to fraction form
    785,758.12/1,179,153.42 = 431,021.32/x
  3. Step 3: Cross multiply
    785,758.12x = 1,179,153.42 × 431,021.32
  4. Step 4: Simplify right side
    785,758.12x = 508,240,263,570.91
  5. Step 5: Solve for x
    x = 508,240,263,570.91/785,758.12
  6. Step 6: Final answer
    x = 646,815.16

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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.