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Finding the Fourth Proportional to 380,159.56, 524,563.74 and 230,898.81

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Solution

The fourth proportional to 380,159.56, 524,563.74 and 230,898.81 is: 318,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,159.56 : 524,563.74 = 230,898.81 : x
  2. Step 2: Convert to fraction form
    380,159.56/524,563.74 = 230,898.81/x
  3. Step 3: Cross multiply
    380,159.56x = 524,563.74 × 230,898.81
  4. Step 4: Simplify right side
    380,159.56x = 121,121,143,335.15
  5. Step 5: Solve for x
    x = 121,121,143,335.15/380,159.56
  6. Step 6: Final answer
    x = 318,606.07

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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.