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Finding the Fourth Proportional to 387,804.16, 534,951.16 and 232,715.32

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Solution

The fourth proportional to 387,804.16, 534,951.16 and 232,715.32 is: 321,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,804.16 : 534,951.16 = 232,715.32 : x
  2. Step 2: Convert to fraction form
    387,804.16/534,951.16 = 232,715.32/x
  3. Step 3: Cross multiply
    387,804.16x = 534,951.16 × 232,715.32
  4. Step 4: Simplify right side
    387,804.16x = 124,491,330,383.77
  5. Step 5: Solve for x
    x = 124,491,330,383.77/387,804.16
  6. Step 6: Final answer
    x = 321,015.97

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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.