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Finding the Fourth Proportional to 465,450.98, 642,701.13 and 379,423.46

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Solution

The fourth proportional to 465,450.98, 642,701.13 and 379,423.46 is: 523,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,450.98 : 642,701.13 = 379,423.46 : x
  2. Step 2: Convert to fraction form
    465,450.98/642,701.13 = 379,423.46/x
  3. Step 3: Cross multiply
    465,450.98x = 642,701.13 × 379,423.46
  4. Step 4: Simplify right side
    465,450.98x = 243,855,886,490.51
  5. Step 5: Solve for x
    x = 243,855,886,490.51/465,450.98
  6. Step 6: Final answer
    x = 523,913.14

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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.