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Finding the Fourth Proportional to 586,564, 809,449.68 and 344,873.76

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Solution

The fourth proportional to 586,564, 809,449.68 and 344,873.76 is: 475,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,564 : 809,449.68 = 344,873.76 : x
  2. Step 2: Convert to fraction form
    586,564/809,449.68 = 344,873.76/x
  3. Step 3: Cross multiply
    586,564x = 809,449.68 × 344,873.76
  4. Step 4: Simplify right side
    586,564x = 279,157,954,672.40
  5. Step 5: Solve for x
    x = 279,157,954,672.40/586,564
  6. Step 6: Final answer
    x = 475,920.71

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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.