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Finding the Fourth Proportional to 507,634.88, 700,536.48 and 281,284.16

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Solution

The fourth proportional to 507,634.88, 700,536.48 and 281,284.16 is: 388,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,634.88 : 700,536.48 = 281,284.16 : x
  2. Step 2: Convert to fraction form
    507,634.88/700,536.48 = 281,284.16/x
  3. Step 3: Cross multiply
    507,634.88x = 700,536.48 × 281,284.16
  4. Step 4: Simplify right side
    507,634.88x = 197,049,815,326.16
  5. Step 5: Solve for x
    x = 197,049,815,326.16/507,634.88
  6. Step 6: Final answer
    x = 388,172.33

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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.