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Finding the Fourth Proportional to 289,816.43, 434,641.56 and 97,669.93

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Solution

The fourth proportional to 289,816.43, 434,641.56 and 97,669.93 is: 146,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,816.43 : 434,641.56 = 97,669.93 : x
  2. Step 2: Convert to fraction form
    289,816.43/434,641.56 = 97,669.93/x
  3. Step 3: Cross multiply
    289,816.43x = 434,641.56 × 97,669.93
  4. Step 4: Simplify right side
    289,816.43x = 42,451,410,651.77
  5. Step 5: Solve for x
    x = 42,451,410,651.77/289,816.43
  6. Step 6: Final answer
    x = 146,476.90

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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.