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Finding the Fourth Proportional to 305,039.46, 457,288.50 and 115,367.16

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Solution

The fourth proportional to 305,039.46, 457,288.50 and 115,367.16 is: 172,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,039.46 : 457,288.50 = 115,367.16 : x
  2. Step 2: Convert to fraction form
    305,039.46/457,288.50 = 115,367.16/x
  3. Step 3: Cross multiply
    305,039.46x = 457,288.50 × 115,367.16
  4. Step 4: Simplify right side
    305,039.46x = 52,756,075,545.66
  5. Step 5: Solve for x
    x = 52,756,075,545.66/305,039.46
  6. Step 6: Final answer
    x = 172,948.36

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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.