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Finding the Fourth Proportional to 586,418.30, 822,644.50 and 586,418.30

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Solution

The fourth proportional to 586,418.30, 822,644.50 and 586,418.30 is: 822,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,418.30 : 822,644.50 = 586,418.30 : x
  2. Step 2: Convert to fraction form
    586,418.30/822,644.50 = 586,418.30/x
  3. Step 3: Cross multiply
    586,418.30x = 822,644.50 × 586,418.30
  4. Step 4: Simplify right side
    586,418.30x = 482,413,789,194.35
  5. Step 5: Solve for x
    x = 482,413,789,194.35/586,418.30
  6. Step 6: Final answer
    x = 822,644.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.