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Finding the Fourth Proportional to 332,330.59, 457,461.69 and 289,815.31

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Solution

The fourth proportional to 332,330.59, 457,461.69 and 289,815.31 is: 398,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,330.59 : 457,461.69 = 289,815.31 : x
  2. Step 2: Convert to fraction form
    332,330.59/457,461.69 = 289,815.31/x
  3. Step 3: Cross multiply
    332,330.59x = 457,461.69 × 289,815.31
  4. Step 4: Simplify right side
    332,330.59x = 132,579,399,213.17
  5. Step 5: Solve for x
    x = 132,579,399,213.17/332,330.59
  6. Step 6: Final answer
    x = 398,938.30

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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.