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Finding the Fourth Proportional to 590,234.42, 814,521.81 and 321,960.50

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Solution

The fourth proportional to 590,234.42, 814,521.81 and 321,960.50 is: 444,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,234.42 : 814,521.81 = 321,960.50 : x
  2. Step 2: Convert to fraction form
    590,234.42/814,521.81 = 321,960.50/x
  3. Step 3: Cross multiply
    590,234.42x = 814,521.81 × 321,960.50
  4. Step 4: Simplify right side
    590,234.42x = 262,243,849,208.51
  5. Step 5: Solve for x
    x = 262,243,849,208.51/590,234.42
  6. Step 6: Final answer
    x = 444,304.57

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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.