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Finding the Fourth Proportional to 586,818.72, 809,829.12 and 332,164.44

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Solution

The fourth proportional to 586,818.72, 809,829.12 and 332,164.44 is: 458,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,818.72 : 809,829.12 = 332,164.44 : x
  2. Step 2: Convert to fraction form
    586,818.72/809,829.12 = 332,164.44/x
  3. Step 3: Cross multiply
    586,818.72x = 809,829.12 × 332,164.44
  4. Step 4: Simplify right side
    586,818.72x = 268,996,436,140.49
  5. Step 5: Solve for x
    x = 268,996,436,140.49/586,818.72
  6. Step 6: Final answer
    x = 458,397.84

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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.