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Finding the Fourth Proportional to 507,670.56, 700,589.52 and 281,319.84

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Solution

The fourth proportional to 507,670.56, 700,589.52 and 281,319.84 is: 388,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,670.56 : 700,589.52 = 281,319.84 : x
  2. Step 2: Convert to fraction form
    507,670.56/700,589.52 = 281,319.84/x
  3. Step 3: Cross multiply
    507,670.56x = 700,589.52 × 281,319.84
  4. Step 4: Simplify right side
    507,670.56x = 197,089,731,672.08
  5. Step 5: Solve for x
    x = 197,089,731,672.08/507,670.56
  6. Step 6: Final answer
    x = 388,223.68

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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.