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Finding the Fourth Proportional to 417,081.04, 625,709.04 and 180,457.36

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Solution

The fourth proportional to 417,081.04, 625,709.04 and 180,457.36 is: 270,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,081.04 : 625,709.04 = 180,457.36 : x
  2. Step 2: Convert to fraction form
    417,081.04/625,709.04 = 180,457.36/x
  3. Step 3: Cross multiply
    417,081.04x = 625,709.04 × 180,457.36
  4. Step 4: Simplify right side
    417,081.04x = 112,913,801,486.53
  5. Step 5: Solve for x
    x = 112,913,801,486.53/417,081.04
  6. Step 6: Final answer
    x = 270,723.89

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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.