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Finding the Fourth Proportional to 397,472.80, 596,208.60 and 160,817.32

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Solution

The fourth proportional to 397,472.80, 596,208.60 and 160,817.32 is: 241,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,472.80 : 596,208.60 = 160,817.32 : x
  2. Step 2: Convert to fraction form
    397,472.80/596,208.60 = 160,817.32/x
  3. Step 3: Cross multiply
    397,472.80x = 596,208.60 × 160,817.32
  4. Step 4: Simplify right side
    397,472.80x = 95,880,669,212.95
  5. Step 5: Solve for x
    x = 95,880,669,212.95/397,472.80
  6. Step 6: Final answer
    x = 241,225.74

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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.