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Finding the Fourth Proportional to 433,068.36, 649,684.47 and 196,429.56

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Solution

The fourth proportional to 433,068.36, 649,684.47 and 196,429.56 is: 294,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,068.36 : 649,684.47 = 196,429.56 : x
  2. Step 2: Convert to fraction form
    433,068.36/649,684.47 = 196,429.56/x
  3. Step 3: Cross multiply
    433,068.36x = 649,684.47 × 196,429.56
  4. Step 4: Simplify right side
    433,068.36x = 127,617,234,580.93
  5. Step 5: Solve for x
    x = 127,617,234,580.93/433,068.36
  6. Step 6: Final answer
    x = 294,681.50

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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.