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Finding the Fourth Proportional to 514,563.36, 710,101.64 and 285,124.48

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Solution

The fourth proportional to 514,563.36, 710,101.64 and 285,124.48 is: 393,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,563.36 : 710,101.64 = 285,124.48 : x
  2. Step 2: Convert to fraction form
    514,563.36/710,101.64 = 285,124.48/x
  3. Step 3: Cross multiply
    514,563.36x = 710,101.64 × 285,124.48
  4. Step 4: Simplify right side
    514,563.36x = 202,467,361,121.15
  5. Step 5: Solve for x
    x = 202,467,361,121.15/514,563.36
  6. Step 6: Final answer
    x = 393,474.11

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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.