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Finding the Fourth Proportional to 599,225.04, 827,262.72 and 408,518.64

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Solution

The fourth proportional to 599,225.04, 827,262.72 and 408,518.64 is: 563,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,225.04 : 827,262.72 = 408,518.64 : x
  2. Step 2: Convert to fraction form
    599,225.04/827,262.72 = 408,518.64/x
  3. Step 3: Cross multiply
    599,225.04x = 827,262.72 × 408,518.64
  4. Step 4: Simplify right side
    599,225.04x = 337,952,241,297.10
  5. Step 5: Solve for x
    x = 337,952,241,297.10/599,225.04
  6. Step 6: Final answer
    x = 563,982.17

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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.