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Finding the Fourth Proportional to 407,100.82, 610,487.16 and 122,703.34

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Solution

The fourth proportional to 407,100.82, 610,487.16 and 122,703.34 is: 184,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,100.82 : 610,487.16 = 122,703.34 : x
  2. Step 2: Convert to fraction form
    407,100.82/610,487.16 = 122,703.34/x
  3. Step 3: Cross multiply
    407,100.82x = 610,487.16 × 122,703.34
  4. Step 4: Simplify right side
    407,100.82x = 74,908,813,559.11
  5. Step 5: Solve for x
    x = 74,908,813,559.11/407,100.82
  6. Step 6: Final answer
    x = 184,005.56

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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.