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Finding the Fourth Proportional to 414,674.87, 572,280.26 and 233,404.16

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Solution

The fourth proportional to 414,674.87, 572,280.26 and 233,404.16 is: 322,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,674.87 : 572,280.26 = 233,404.16 : x
  2. Step 2: Convert to fraction form
    414,674.87/572,280.26 = 233,404.16/x
  3. Step 3: Cross multiply
    414,674.87x = 572,280.26 × 233,404.16
  4. Step 4: Simplify right side
    414,674.87x = 133,572,589,341.46
  5. Step 5: Solve for x
    x = 133,572,589,341.46/414,674.87
  6. Step 6: Final answer
    x = 322,114.02

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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.