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Finding the Fourth Proportional to 312,466.95, 431,031.74 and 254,386.16

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Solution

The fourth proportional to 312,466.95, 431,031.74 and 254,386.16 is: 350,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,466.95 : 431,031.74 = 254,386.16 : x
  2. Step 2: Convert to fraction form
    312,466.95/431,031.74 = 254,386.16/x
  3. Step 3: Cross multiply
    312,466.95x = 431,031.74 × 254,386.16
  4. Step 4: Simplify right side
    312,466.95x = 109,648,509,936.32
  5. Step 5: Solve for x
    x = 109,648,509,936.32/312,466.95
  6. Step 6: Final answer
    x = 350,912.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.