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Finding the Fourth Proportional to 512,548.36, 706,653.42 and 351,114.95

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Solution

The fourth proportional to 512,548.36, 706,653.42 and 351,114.95 is: 484,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,548.36 : 706,653.42 = 351,114.95 : x
  2. Step 2: Convert to fraction form
    512,548.36/706,653.42 = 351,114.95/x
  3. Step 3: Cross multiply
    512,548.36x = 706,653.42 × 351,114.95
  4. Step 4: Simplify right side
    512,548.36x = 248,116,580,680.58
  5. Step 5: Solve for x
    x = 248,116,580,680.58/512,548.36
  6. Step 6: Final answer
    x = 484,084.24

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Why These Related Problems?

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