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Finding the Fourth Proportional to 286,273.51, 431,420.90 and 257,846.16

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Solution

The fourth proportional to 286,273.51, 431,420.90 and 257,846.16 is: 388,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,273.51 : 431,420.90 = 257,846.16 : x
  2. Step 2: Convert to fraction form
    286,273.51/431,420.90 = 257,846.16/x
  3. Step 3: Cross multiply
    286,273.51x = 431,420.90 × 257,846.16
  4. Step 4: Simplify right side
    286,273.51x = 111,240,222,408.74
  5. Step 5: Solve for x
    x = 111,240,222,408.74/286,273.51
  6. Step 6: Final answer
    x = 388,580.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.