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Finding the Fourth Proportional to 590,294.29, 814,602.31 and 335,645.46

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Solution

The fourth proportional to 590,294.29, 814,602.31 and 335,645.46 is: 463,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,294.29 : 814,602.31 = 335,645.46 : x
  2. Step 2: Convert to fraction form
    590,294.29/814,602.31 = 335,645.46/x
  3. Step 3: Cross multiply
    590,294.29x = 814,602.31 × 335,645.46
  4. Step 4: Simplify right side
    590,294.29x = 273,417,567,057.01
  5. Step 5: Solve for x
    x = 273,417,567,057.01/590,294.29
  6. Step 6: Final answer
    x = 463,188.57

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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.