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Finding the Fourth Proportional to 407,638.98, 562,586.76 and 233,225.38

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Solution

The fourth proportional to 407,638.98, 562,586.76 and 233,225.38 is: 321,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,638.98 : 562,586.76 = 233,225.38 : x
  2. Step 2: Convert to fraction form
    407,638.98/562,586.76 = 233,225.38/x
  3. Step 3: Cross multiply
    407,638.98x = 562,586.76 × 233,225.38
  4. Step 4: Simplify right side
    407,638.98x = 131,209,510,883.97
  5. Step 5: Solve for x
    x = 131,209,510,883.97/407,638.98
  6. Step 6: Final answer
    x = 321,876.75

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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.