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Finding the Fourth Proportional to 586,535.22, 809,364.69 and 331,845.30

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Solution

The fourth proportional to 586,535.22, 809,364.69 and 331,845.30 is: 457,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,535.22 : 809,364.69 = 331,845.30 : x
  2. Step 2: Convert to fraction form
    586,535.22/809,364.69 = 331,845.30/x
  3. Step 3: Cross multiply
    586,535.22x = 809,364.69 × 331,845.30
  4. Step 4: Simplify right side
    586,535.22x = 268,583,868,362.46
  5. Step 5: Solve for x
    x = 268,583,868,362.46/586,535.22
  6. Step 6: Final answer
    x = 457,916.01

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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.