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Finding the Fourth Proportional to 383,873.81, 575,789.95 and 117,635.10

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Solution

The fourth proportional to 383,873.81, 575,789.95 and 117,635.10 is: 176,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,873.81 : 575,789.95 = 117,635.10 : x
  2. Step 2: Convert to fraction form
    383,873.81/575,789.95 = 117,635.10/x
  3. Step 3: Cross multiply
    383,873.81x = 575,789.95 × 117,635.10
  4. Step 4: Simplify right side
    383,873.81x = 67,733,108,347.25
  5. Step 5: Solve for x
    x = 67,733,108,347.25/383,873.81
  6. Step 6: Final answer
    x = 176,446.29

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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.