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Finding the Fourth Proportional to 383,522.77, 575,367.20 and 146,865.45

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Solution

The fourth proportional to 383,522.77, 575,367.20 and 146,865.45 is: 220,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,522.77 : 575,367.20 = 146,865.45 : x
  2. Step 2: Convert to fraction form
    383,522.77/575,367.20 = 146,865.45/x
  3. Step 3: Cross multiply
    383,522.77x = 575,367.20 × 146,865.45
  4. Step 4: Simplify right side
    383,522.77x = 84,501,564,717.29
  5. Step 5: Solve for x
    x = 84,501,564,717.29/383,522.77
  6. Step 6: Final answer
    x = 220,329.98

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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.