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Finding the Fourth Proportional to 507,853.44, 700,835.76 and 278,412

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Solution

The fourth proportional to 507,853.44, 700,835.76 and 278,412 is: 384,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,853.44 : 700,835.76 = 278,412 : x
  2. Step 2: Convert to fraction form
    507,853.44/700,835.76 = 278,412/x
  3. Step 3: Cross multiply
    507,853.44x = 700,835.76 × 278,412
  4. Step 4: Simplify right side
    507,853.44x = 195,121,085,613.12
  5. Step 5: Solve for x
    x = 195,121,085,613.12/507,853.44
  6. Step 6: Final answer
    x = 384,207.47

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