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Finding the Fourth Proportional to 542,037.44, 812,622 and 257,585.24

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Solution

The fourth proportional to 542,037.44, 812,622 and 257,585.24 is: 386,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,037.44 : 812,622 = 257,585.24 : x
  2. Step 2: Convert to fraction form
    542,037.44/812,622 = 257,585.24/x
  3. Step 3: Cross multiply
    542,037.44x = 812,622 × 257,585.24
  4. Step 4: Simplify right side
    542,037.44x = 209,319,432,899.28
  5. Step 5: Solve for x
    x = 209,319,432,899.28/542,037.44
  6. Step 6: Final answer
    x = 386,171.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.