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Finding the Fourth Proportional to 383,457.07, 575,123.31 and 181,052.78

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Solution

The fourth proportional to 383,457.07, 575,123.31 and 181,052.78 is: 271,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,457.07 : 575,123.31 = 181,052.78 : x
  2. Step 2: Convert to fraction form
    383,457.07/575,123.31 = 181,052.78/x
  3. Step 3: Cross multiply
    383,457.07x = 575,123.31 × 181,052.78
  4. Step 4: Simplify right side
    383,457.07x = 104,127,675,031.92
  5. Step 5: Solve for x
    x = 104,127,675,031.92/383,457.07
  6. Step 6: Final answer
    x = 271,549.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.