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Finding the Fourth Proportional to 507,825.94, 700,799.90 and 281,471.44

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Solution

The fourth proportional to 507,825.94, 700,799.90 and 281,471.44 is: 388,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,825.94 : 700,799.90 = 281,471.44 : x
  2. Step 2: Convert to fraction form
    507,825.94/700,799.90 = 281,471.44/x
  3. Step 3: Cross multiply
    507,825.94x = 700,799.90 × 281,471.44
  4. Step 4: Simplify right side
    507,825.94x = 197,255,153,845.50
  5. Step 5: Solve for x
    x = 197,255,153,845.50/507,825.94
  6. Step 6: Final answer
    x = 388,430.64

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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.