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Finding the Fourth Proportional to 585,842.40, 822,045.60 and 585,842.40

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Solution

The fourth proportional to 585,842.40, 822,045.60 and 585,842.40 is: 822,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,842.40 : 822,045.60 = 585,842.40 : x
  2. Step 2: Convert to fraction form
    585,842.40/822,045.60 = 585,842.40/x
  3. Step 3: Cross multiply
    585,842.40x = 822,045.60 × 585,842.40
  4. Step 4: Simplify right side
    585,842.40x = 481,589,167,213.44
  5. Step 5: Solve for x
    x = 481,589,167,213.44/585,842.40
  6. Step 6: Final answer
    x = 822,045.60

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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.