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Finding the Fourth Proportional to 383,313.30, 575,188.65 and 146,825.70

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Solution

The fourth proportional to 383,313.30, 575,188.65 and 146,825.70 is: 220,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,313.30 : 575,188.65 = 146,825.70 : x
  2. Step 2: Convert to fraction form
    383,313.30/575,188.65 = 146,825.70/x
  3. Step 3: Cross multiply
    383,313.30x = 575,188.65 × 146,825.70
  4. Step 4: Simplify right side
    383,313.30x = 84,452,476,168.31
  5. Step 5: Solve for x
    x = 84,452,476,168.31/383,313.30
  6. Step 6: Final answer
    x = 220,322.32

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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.