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Finding the Fourth Proportional to 386,117.51, 532,842.32 and 235,214.51

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Solution

The fourth proportional to 386,117.51, 532,842.32 and 235,214.51 is: 324,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,117.51 : 532,842.32 = 235,214.51 : x
  2. Step 2: Convert to fraction form
    386,117.51/532,842.32 = 235,214.51/x
  3. Step 3: Cross multiply
    386,117.51x = 532,842.32 × 235,214.51
  4. Step 4: Simplify right side
    386,117.51x = 125,332,244,029.99
  5. Step 5: Solve for x
    x = 125,332,244,029.99/386,117.51
  6. Step 6: Final answer
    x = 324,596.12

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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.