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Finding the Fourth Proportional to 590,443.74, 814,814.23 and 335,812.70

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Solution

The fourth proportional to 590,443.74, 814,814.23 and 335,812.70 is: 463,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,443.74 : 814,814.23 = 335,812.70 : x
  2. Step 2: Convert to fraction form
    590,443.74/814,814.23 = 335,812.70/x
  3. Step 3: Cross multiply
    590,443.74x = 814,814.23 × 335,812.70
  4. Step 4: Simplify right side
    590,443.74x = 273,624,966,574.72
  5. Step 5: Solve for x
    x = 273,624,966,574.72/590,443.74
  6. Step 6: Final answer
    x = 463,422.59

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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.