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Finding the Fourth Proportional to 407,250.30, 610,963.25 and 122,917.07

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Solution

The fourth proportional to 407,250.30, 610,963.25 and 122,917.07 is: 184,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,250.30 : 610,963.25 = 122,917.07 : x
  2. Step 2: Convert to fraction form
    407,250.30/610,963.25 = 122,917.07/x
  3. Step 3: Cross multiply
    407,250.30x = 610,963.25 × 122,917.07
  4. Step 4: Simplify right side
    407,250.30x = 75,097,808,898.28
  5. Step 5: Solve for x
    x = 75,097,808,898.28/407,250.30
  6. Step 6: Final answer
    x = 184,402.10

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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.