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Finding the Fourth Proportional to 433,400.70, 649,663.65 and 196,913.10

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Solution

The fourth proportional to 433,400.70, 649,663.65 and 196,913.10 is: 295,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,400.70 : 649,663.65 = 196,913.10 : x
  2. Step 2: Convert to fraction form
    433,400.70/649,663.65 = 196,913.10/x
  3. Step 3: Cross multiply
    433,400.70x = 649,663.65 × 196,913.10
  4. Step 4: Simplify right side
    433,400.70x = 127,927,283,278.82
  5. Step 5: Solve for x
    x = 127,927,283,278.82/433,400.70
  6. Step 6: Final answer
    x = 295,170.92

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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.