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Finding the Fourth Proportional to 586,410.64, 809,333.72 and 371,570.83

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Solution

The fourth proportional to 586,410.64, 809,333.72 and 371,570.83 is: 512,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,410.64 : 809,333.72 = 371,570.83 : x
  2. Step 2: Convert to fraction form
    586,410.64/809,333.72 = 371,570.83/x
  3. Step 3: Cross multiply
    586,410.64x = 809,333.72 × 371,570.83
  4. Step 4: Simplify right side
    586,410.64x = 300,724,800,229.53
  5. Step 5: Solve for x
    x = 300,724,800,229.53/586,410.64
  6. Step 6: Final answer
    x = 512,822.89

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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.