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Finding the Fourth Proportional to 590,284.52, 814,588.88 and 335,635.71

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Solution

The fourth proportional to 590,284.52, 814,588.88 and 335,635.71 is: 463,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,284.52 : 814,588.88 = 335,635.71 : x
  2. Step 2: Convert to fraction form
    590,284.52/814,588.88 = 335,635.71/x
  3. Step 3: Cross multiply
    590,284.52x = 814,588.88 × 335,635.71
  4. Step 4: Simplify right side
    590,284.52x = 273,405,117,096.91
  5. Step 5: Solve for x
    x = 273,405,117,096.91/590,284.52
  6. Step 6: Final answer
    x = 463,175.14

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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.