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Finding the Fourth Proportional to 459,960.54, 689,892.29 and 123,035.19

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Solution

The fourth proportional to 459,960.54, 689,892.29 and 123,035.19 is: 184,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,960.54 : 689,892.29 = 123,035.19 : x
  2. Step 2: Convert to fraction form
    459,960.54/689,892.29 = 123,035.19/x
  3. Step 3: Cross multiply
    459,960.54x = 689,892.29 × 123,035.19
  4. Step 4: Simplify right side
    459,960.54x = 84,881,032,059.76
  5. Step 5: Solve for x
    x = 84,881,032,059.76/459,960.54
  6. Step 6: Final answer
    x = 184,539.81

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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.