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Finding the Fourth Proportional to 312,941.39, 469,412.42 and 113,214.98

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Solution

The fourth proportional to 312,941.39, 469,412.42 and 113,214.98 is: 169,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,941.39 : 469,412.42 = 113,214.98 : x
  2. Step 2: Convert to fraction form
    312,941.39/469,412.42 = 113,214.98/x
  3. Step 3: Cross multiply
    312,941.39x = 469,412.42 × 113,214.98
  4. Step 4: Simplify right side
    312,941.39x = 53,144,514,828.91
  5. Step 5: Solve for x
    x = 53,144,514,828.91/312,941.39
  6. Step 6: Final answer
    x = 169,822.58

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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.