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Finding the Fourth Proportional to 590,457.78, 814,897.31 and 332,342.58

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Solution

The fourth proportional to 590,457.78, 814,897.31 and 332,342.58 is: 458,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,457.78 : 814,897.31 = 332,342.58 : x
  2. Step 2: Convert to fraction form
    590,457.78/814,897.31 = 332,342.58/x
  3. Step 3: Cross multiply
    590,457.78x = 814,897.31 × 332,342.58
  4. Step 4: Simplify right side
    590,457.78x = 270,825,074,440.46
  5. Step 5: Solve for x
    x = 270,825,074,440.46/590,457.78
  6. Step 6: Final answer
    x = 458,669.67

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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.