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Finding the Fourth Proportional to 513,455.95, 708,596.11 and 295,697.68

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Solution

The fourth proportional to 513,455.95, 708,596.11 and 295,697.68 is: 408,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,455.95 : 708,596.11 = 295,697.68 : x
  2. Step 2: Convert to fraction form
    513,455.95/708,596.11 = 295,697.68/x
  3. Step 3: Cross multiply
    513,455.95x = 708,596.11 × 295,697.68
  4. Step 4: Simplify right side
    513,455.95x = 209,530,225,784.03
  5. Step 5: Solve for x
    x = 209,530,225,784.03/513,455.95
  6. Step 6: Final answer
    x = 408,078.29

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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.