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Finding the Fourth Proportional to 312,628.42, 468,450.87 and 241,724.26

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Solution

The fourth proportional to 312,628.42, 468,450.87 and 241,724.26 is: 362,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,628.42 : 468,450.87 = 241,724.26 : x
  2. Step 2: Convert to fraction form
    312,628.42/468,450.87 = 241,724.26/x
  3. Step 3: Cross multiply
    312,628.42x = 468,450.87 × 241,724.26
  4. Step 4: Simplify right side
    312,628.42x = 113,235,939,897.11
  5. Step 5: Solve for x
    x = 113,235,939,897.11/312,628.42
  6. Step 6: Final answer
    x = 362,206.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.