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Finding the Fourth Proportional to 590,071.65, 814,297.66 and 331,948.77

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Solution

The fourth proportional to 590,071.65, 814,297.66 and 331,948.77 is: 458,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,071.65 : 814,297.66 = 331,948.77 : x
  2. Step 2: Convert to fraction form
    590,071.65/814,297.66 = 331,948.77/x
  3. Step 3: Cross multiply
    590,071.65x = 814,297.66 × 331,948.77
  4. Step 4: Simplify right side
    590,071.65x = 270,305,106,650.88
  5. Step 5: Solve for x
    x = 270,305,106,650.88/590,071.65
  6. Step 6: Final answer
    x = 458,088.62

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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.