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Finding the Fourth Proportional to 312,758.26, 468,472.14 and 184,536.35

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Solution

The fourth proportional to 312,758.26, 468,472.14 and 184,536.35 is: 276,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,758.26 : 468,472.14 = 184,536.35 : x
  2. Step 2: Convert to fraction form
    312,758.26/468,472.14 = 184,536.35/x
  3. Step 3: Cross multiply
    312,758.26x = 468,472.14 × 184,536.35
  4. Step 4: Simplify right side
    312,758.26x = 86,450,138,792.29
  5. Step 5: Solve for x
    x = 86,450,138,792.29/312,758.26
  6. Step 6: Final answer
    x = 276,412.01

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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.