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Finding the Fourth Proportional to 586,830.72, 809,845.68 and 332,176.44

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Solution

The fourth proportional to 586,830.72, 809,845.68 and 332,176.44 is: 458,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,830.72 : 809,845.68 = 332,176.44 : x
  2. Step 2: Convert to fraction form
    586,830.72/809,845.68 = 332,176.44/x
  3. Step 3: Cross multiply
    586,830.72x = 809,845.68 × 332,176.44
  4. Step 4: Simplify right side
    586,830.72x = 269,011,654,931.78
  5. Step 5: Solve for x
    x = 269,011,654,931.78/586,830.72
  6. Step 6: Final answer
    x = 458,414.40

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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.