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Finding the Fourth Proportional to 410,965.37, 566,972.03 and 257,914.25

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Solution

The fourth proportional to 410,965.37, 566,972.03 and 257,914.25 is: 355,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,965.37 : 566,972.03 = 257,914.25 : x
  2. Step 2: Convert to fraction form
    410,965.37/566,972.03 = 257,914.25/x
  3. Step 3: Cross multiply
    410,965.37x = 566,972.03 × 257,914.25
  4. Step 4: Simplify right side
    410,965.37x = 146,230,164,598.86
  5. Step 5: Solve for x
    x = 146,230,164,598.86/410,965.37
  6. Step 6: Final answer
    x = 355,821.14

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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.