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Finding the Fourth Proportional to 289,377.80, 434,066.70 and 149,409.80

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Solution

The fourth proportional to 289,377.80, 434,066.70 and 149,409.80 is: 224,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,377.80 : 434,066.70 = 149,409.80 : x
  2. Step 2: Convert to fraction form
    289,377.80/434,066.70 = 149,409.80/x
  3. Step 3: Cross multiply
    289,377.80x = 434,066.70 × 149,409.80
  4. Step 4: Simplify right side
    289,377.80x = 64,853,818,833.66
  5. Step 5: Solve for x
    x = 64,853,818,833.66/289,377.80
  6. Step 6: Final answer
    x = 224,114.70

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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.