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Finding the Fourth Proportional to 402,315.06, 603,546.57 and 132,458.70

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Solution

The fourth proportional to 402,315.06, 603,546.57 and 132,458.70 is: 198,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,315.06 : 603,546.57 = 132,458.70 : x
  2. Step 2: Convert to fraction form
    402,315.06/603,546.57 = 132,458.70/x
  3. Step 3: Cross multiply
    402,315.06x = 603,546.57 × 132,458.70
  4. Step 4: Simplify right side
    402,315.06x = 79,944,994,051.66
  5. Step 5: Solve for x
    x = 79,944,994,051.66/402,315.06
  6. Step 6: Final answer
    x = 198,712.41

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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.