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Finding the Fourth Proportional to 590,322.09, 814,569.57 and 335,678.61

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Solution

The fourth proportional to 590,322.09, 814,569.57 and 335,678.61 is: 463,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,322.09 : 814,569.57 = 335,678.61 : x
  2. Step 2: Convert to fraction form
    590,322.09/814,569.57 = 335,678.61/x
  3. Step 3: Cross multiply
    590,322.09x = 814,569.57 × 335,678.61
  4. Step 4: Simplify right side
    590,322.09x = 273,433,581,005.90
  5. Step 5: Solve for x
    x = 273,433,581,005.90/590,322.09
  6. Step 6: Final answer
    x = 463,193.88

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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.