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Finding the Fourth Proportional to 586,884.57, 809,909.11 and 341,863.03

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Solution

The fourth proportional to 586,884.57, 809,909.11 and 341,863.03 is: 471,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,884.57 : 809,909.11 = 341,863.03 : x
  2. Step 2: Convert to fraction form
    586,884.57/809,909.11 = 341,863.03/x
  3. Step 3: Cross multiply
    586,884.57x = 809,909.11 × 341,863.03
  4. Step 4: Simplify right side
    586,884.57x = 276,877,983,808.92
  5. Step 5: Solve for x
    x = 276,877,983,808.92/586,884.57
  6. Step 6: Final answer
    x = 471,775.88

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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.