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Finding the Fourth Proportional to 538,052.15, 742,457.03 and 331,287.71

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Solution

The fourth proportional to 538,052.15, 742,457.03 and 331,287.71 is: 457,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,052.15 : 742,457.03 = 331,287.71 : x
  2. Step 2: Convert to fraction form
    538,052.15/742,457.03 = 331,287.71/x
  3. Step 3: Cross multiply
    538,052.15x = 742,457.03 × 331,287.71
  4. Step 4: Simplify right side
    538,052.15x = 245,966,883,873.38
  5. Step 5: Solve for x
    x = 245,966,883,873.38/538,052.15
  6. Step 6: Final answer
    x = 457,143.21

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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.