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Finding the Fourth Proportional to 590,327.82, 814,628.25 and 348,688.62

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Solution

The fourth proportional to 590,327.82, 814,628.25 and 348,688.62 is: 481,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,327.82 : 814,628.25 = 348,688.62 : x
  2. Step 2: Convert to fraction form
    590,327.82/814,628.25 = 348,688.62/x
  3. Step 3: Cross multiply
    590,327.82x = 814,628.25 × 348,688.62
  4. Step 4: Simplify right side
    590,327.82x = 284,051,600,305.52
  5. Step 5: Solve for x
    x = 284,051,600,305.52/590,327.82
  6. Step 6: Final answer
    x = 481,176.04

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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.