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Finding the Fourth Proportional to 496,164.80, 684,699.36 and 269,816

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Solution

The fourth proportional to 496,164.80, 684,699.36 and 269,816 is: 372,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,164.80 : 684,699.36 = 269,816 : x
  2. Step 2: Convert to fraction form
    496,164.80/684,699.36 = 269,816/x
  3. Step 3: Cross multiply
    496,164.80x = 684,699.36 × 269,816
  4. Step 4: Simplify right side
    496,164.80x = 184,742,842,517.76
  5. Step 5: Solve for x
    x = 184,742,842,517.76/496,164.80
  6. Step 6: Final answer
    x = 372,341.69

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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.