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Finding the Fourth Proportional to 402,260.46, 603,382.80 and 162,367.98

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Solution

The fourth proportional to 402,260.46, 603,382.80 and 162,367.98 is: 243,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,260.46 : 603,382.80 = 162,367.98 : x
  2. Step 2: Convert to fraction form
    402,260.46/603,382.80 = 162,367.98/x
  3. Step 3: Cross multiply
    402,260.46x = 603,382.80 × 162,367.98
  4. Step 4: Simplify right side
    402,260.46x = 97,970,046,402.74
  5. Step 5: Solve for x
    x = 97,970,046,402.74/402,260.46
  6. Step 6: Final answer
    x = 243,548.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.