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Finding the Fourth Proportional to 289,109.70, 433,664.55 and 184,004.10

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Solution

The fourth proportional to 289,109.70, 433,664.55 and 184,004.10 is: 276,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,109.70 : 433,664.55 = 184,004.10 : x
  2. Step 2: Convert to fraction form
    289,109.70/433,664.55 = 184,004.10/x
  3. Step 3: Cross multiply
    289,109.70x = 433,664.55 × 184,004.10
  4. Step 4: Simplify right side
    289,109.70x = 79,796,055,224.66
  5. Step 5: Solve for x
    x = 79,796,055,224.66/289,109.70
  6. Step 6: Final answer
    x = 276,006.15

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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.