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Finding the Fourth Proportional to 368,875.46, 509,069.83 and 225,662.95

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Solution

The fourth proportional to 368,875.46, 509,069.83 and 225,662.95 is: 311,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,875.46 : 509,069.83 = 225,662.95 : x
  2. Step 2: Convert to fraction form
    368,875.46/509,069.83 = 225,662.95/x
  3. Step 3: Cross multiply
    368,875.46x = 509,069.83 × 225,662.95
  4. Step 4: Simplify right side
    368,875.46x = 114,878,198,465.48
  5. Step 5: Solve for x
    x = 114,878,198,465.48/368,875.46
  6. Step 6: Final answer
    x = 311,428.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.