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Finding the Fourth Proportional to 312,341.96, 468,314.75 and 264,973.37

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Solution

The fourth proportional to 312,341.96, 468,314.75 and 264,973.37 is: 397,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,341.96 : 468,314.75 = 264,973.37 : x
  2. Step 2: Convert to fraction form
    312,341.96/468,314.75 = 264,973.37/x
  3. Step 3: Cross multiply
    312,341.96x = 468,314.75 × 264,973.37
  4. Step 4: Simplify right side
    312,341.96x = 124,090,933,861.77
  5. Step 5: Solve for x
    x = 124,090,933,861.77/312,341.96
  6. Step 6: Final answer
    x = 397,291.91

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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.