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Finding the Fourth Proportional to 507,736.16, 700,708.56 and 281,396.24

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Solution

The fourth proportional to 507,736.16, 700,708.56 and 281,396.24 is: 388,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,736.16 : 700,708.56 = 281,396.24 : x
  2. Step 2: Convert to fraction form
    507,736.16/700,708.56 = 281,396.24/x
  3. Step 3: Cross multiply
    507,736.16x = 700,708.56 × 281,396.24
  4. Step 4: Simplify right side
    507,736.16x = 197,176,754,119.81
  5. Step 5: Solve for x
    x = 197,176,754,119.81/507,736.16
  6. Step 6: Final answer
    x = 388,344.91

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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.