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Finding the Fourth Proportional to 313,302.54, 469,962.92 and 76,645.14

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Solution

The fourth proportional to 313,302.54, 469,962.92 and 76,645.14 is: 114,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,302.54 : 469,962.92 = 76,645.14 : x
  2. Step 2: Convert to fraction form
    313,302.54/469,962.92 = 76,645.14/x
  3. Step 3: Cross multiply
    313,302.54x = 469,962.92 × 76,645.14
  4. Step 4: Simplify right side
    313,302.54x = 36,020,373,798.21
  5. Step 5: Solve for x
    x = 36,020,373,798.21/313,302.54
  6. Step 6: Final answer
    x = 114,969.94

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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.