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Finding the Fourth Proportional to 387,671.89, 534,908.78 and 226,495.81

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Solution

The fourth proportional to 387,671.89, 534,908.78 and 226,495.81 is: 312,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,671.89 : 534,908.78 = 226,495.81 : x
  2. Step 2: Convert to fraction form
    387,671.89/534,908.78 = 226,495.81/x
  3. Step 3: Cross multiply
    387,671.89x = 534,908.78 × 226,495.81
  4. Step 4: Simplify right side
    387,671.89x = 121,154,596,269.73
  5. Step 5: Solve for x
    x = 121,154,596,269.73/387,671.89
  6. Step 6: Final answer
    x = 312,518.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.