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Finding the Fourth Proportional to 383,812.95, 575,473.08 and 159,328.34

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Solution

The fourth proportional to 383,812.95, 575,473.08 and 159,328.34 is: 238,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,812.95 : 575,473.08 = 159,328.34 : x
  2. Step 2: Convert to fraction form
    383,812.95/575,473.08 = 159,328.34/x
  3. Step 3: Cross multiply
    383,812.95x = 575,473.08 × 159,328.34
  4. Step 4: Simplify right side
    383,812.95x = 91,689,167,673.72
  5. Step 5: Solve for x
    x = 91,689,167,673.72/383,812.95
  6. Step 6: Final answer
    x = 238,890.24

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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.