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Finding the Fourth Proportional to 357,897.67, 493,908.19 and 196,756.77

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Solution

The fourth proportional to 357,897.67, 493,908.19 and 196,756.77 is: 271,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,897.67 : 493,908.19 = 196,756.77 : x
  2. Step 2: Convert to fraction form
    357,897.67/493,908.19 = 196,756.77/x
  3. Step 3: Cross multiply
    357,897.67x = 493,908.19 × 196,756.77
  4. Step 4: Simplify right side
    357,897.67x = 97,179,780,140.95
  5. Step 5: Solve for x
    x = 97,179,780,140.95/357,897.67
  6. Step 6: Final answer
    x = 271,529.51

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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.