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Finding the Fourth Proportional to 414,809.46, 572,400.32 and 231,034.01

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Solution

The fourth proportional to 414,809.46, 572,400.32 and 231,034.01 is: 318,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,809.46 : 572,400.32 = 231,034.01 : x
  2. Step 2: Convert to fraction form
    414,809.46/572,400.32 = 231,034.01/x
  3. Step 3: Cross multiply
    414,809.46x = 572,400.32 × 231,034.01
  4. Step 4: Simplify right side
    414,809.46x = 132,243,937,237.71
  5. Step 5: Solve for x
    x = 132,243,937,237.71/414,809.46
  6. Step 6: Final answer
    x = 318,806.46

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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.