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Finding the Fourth Proportional to 323,113.34, 484,739.93 and 98,467.84

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Solution

The fourth proportional to 323,113.34, 484,739.93 and 98,467.84 is: 147,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,113.34 : 484,739.93 = 98,467.84 : x
  2. Step 2: Convert to fraction form
    323,113.34/484,739.93 = 98,467.84/x
  3. Step 3: Cross multiply
    323,113.34x = 484,739.93 × 98,467.84
  4. Step 4: Simplify right side
    323,113.34x = 47,731,293,376.51
  5. Step 5: Solve for x
    x = 47,731,293,376.51/323,113.34
  6. Step 6: Final answer
    x = 147,723.07

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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.