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Finding the Fourth Proportional to 313,114.32, 469,669.86 and 76,458.24

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Solution

The fourth proportional to 313,114.32, 469,669.86 and 76,458.24 is: 114,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,114.32 : 469,669.86 = 76,458.24 : x
  2. Step 2: Convert to fraction form
    313,114.32/469,669.86 = 76,458.24/x
  3. Step 3: Cross multiply
    313,114.32x = 469,669.86 × 76,458.24
  4. Step 4: Simplify right side
    313,114.32x = 35,910,130,876.65
  5. Step 5: Solve for x
    x = 35,910,130,876.65/313,114.32
  6. Step 6: Final answer
    x = 114,686.96

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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.