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Finding the Fourth Proportional to 430,201.60, 593,322.70 and 361,019.48

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Solution

The fourth proportional to 430,201.60, 593,322.70 and 361,019.48 is: 497,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,201.60 : 593,322.70 = 361,019.48 : x
  2. Step 2: Convert to fraction form
    430,201.60/593,322.70 = 361,019.48/x
  3. Step 3: Cross multiply
    430,201.60x = 593,322.70 × 361,019.48
  4. Step 4: Simplify right side
    430,201.60x = 214,201,052,626.20
  5. Step 5: Solve for x
    x = 214,201,052,626.20/430,201.60
  6. Step 6: Final answer
    x = 497,908.54

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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.