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Finding the Fourth Proportional to 305,352.86, 457,602.62 and 260,138.66

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Solution

The fourth proportional to 305,352.86, 457,602.62 and 260,138.66 is: 389,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,352.86 : 457,602.62 = 260,138.66 : x
  2. Step 2: Convert to fraction form
    305,352.86/457,602.62 = 260,138.66/x
  3. Step 3: Cross multiply
    305,352.86x = 457,602.62 × 260,138.66
  4. Step 4: Simplify right side
    305,352.86x = 119,040,128,790.58
  5. Step 5: Solve for x
    x = 119,040,128,790.58/305,352.86
  6. Step 6: Final answer
    x = 389,844.49

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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.