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Finding the Fourth Proportional to 590,123.46, 814,298.14 and 372,250.34

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Solution

The fourth proportional to 590,123.46, 814,298.14 and 372,250.34 is: 513,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,123.46 : 814,298.14 = 372,250.34 : x
  2. Step 2: Convert to fraction form
    590,123.46/814,298.14 = 372,250.34/x
  3. Step 3: Cross multiply
    590,123.46x = 814,298.14 × 372,250.34
  4. Step 4: Simplify right side
    590,123.46x = 303,122,754,539.69
  5. Step 5: Solve for x
    x = 303,122,754,539.69/590,123.46
  6. Step 6: Final answer
    x = 513,659.89

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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.