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Finding the Fourth Proportional to 459,969.49, 689,905.69 and 123,044.14

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Solution

The fourth proportional to 459,969.49, 689,905.69 and 123,044.14 is: 184,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,969.49 : 689,905.69 = 123,044.14 : x
  2. Step 2: Convert to fraction form
    459,969.49/689,905.69 = 123,044.14/x
  3. Step 3: Cross multiply
    459,969.49x = 689,905.69 × 123,044.14
  4. Step 4: Simplify right side
    459,969.49x = 84,888,852,307.16
  5. Step 5: Solve for x
    x = 84,888,852,307.16/459,969.49
  6. Step 6: Final answer
    x = 184,553.22

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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.