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Finding the Fourth Proportional to 355,475.10, 533,347.32 and 213,419.57

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Solution

The fourth proportional to 355,475.10, 533,347.32 and 213,419.57 is: 320,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,475.10 : 533,347.32 = 213,419.57 : x
  2. Step 2: Convert to fraction form
    355,475.10/533,347.32 = 213,419.57/x
  3. Step 3: Cross multiply
    355,475.10x = 533,347.32 × 213,419.57
  4. Step 4: Simplify right side
    355,475.10x = 113,826,755,695.05
  5. Step 5: Solve for x
    x = 113,826,755,695.05/355,475.10
  6. Step 6: Final answer
    x = 320,210.21

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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.