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Finding the Fourth Proportional to 384,928.50, 577,633.32 and 185,269.98

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Solution

The fourth proportional to 384,928.50, 577,633.32 and 185,269.98 is: 278,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,928.50 : 577,633.32 = 185,269.98 : x
  2. Step 2: Convert to fraction form
    384,928.50/577,633.32 = 185,269.98/x
  3. Step 3: Cross multiply
    384,928.50x = 577,633.32 × 185,269.98
  4. Step 4: Simplify right side
    384,928.50x = 107,018,113,643.73
  5. Step 5: Solve for x
    x = 107,018,113,643.73/384,928.50
  6. Step 6: Final answer
    x = 278,020.76

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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.