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Finding the Fourth Proportional to 586,722.30, 822,592.20 and 586,722.30

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Solution

The fourth proportional to 586,722.30, 822,592.20 and 586,722.30 is: 822,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,722.30 : 822,592.20 = 586,722.30 : x
  2. Step 2: Convert to fraction form
    586,722.30/822,592.20 = 586,722.30/x
  3. Step 3: Cross multiply
    586,722.30x = 822,592.20 × 586,722.30
  4. Step 4: Simplify right side
    586,722.30x = 482,633,187,546.06
  5. Step 5: Solve for x
    x = 482,633,187,546.06/586,722.30
  6. Step 6: Final answer
    x = 822,592.20

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