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Finding the Fourth Proportional to 531,641.56, 733,663.20 and 289,923.52

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Solution

The fourth proportional to 531,641.56, 733,663.20 and 289,923.52 is: 400,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,641.56 : 733,663.20 = 289,923.52 : x
  2. Step 2: Convert to fraction form
    531,641.56/733,663.20 = 289,923.52/x
  3. Step 3: Cross multiply
    531,641.56x = 733,663.20 × 289,923.52
  4. Step 4: Simplify right side
    531,641.56x = 212,706,217,438.46
  5. Step 5: Solve for x
    x = 212,706,217,438.46/531,641.56
  6. Step 6: Final answer
    x = 400,093.28

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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.