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Finding the Fourth Proportional to 402,005.40, 603,008.10 and 380,232.60

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Solution

The fourth proportional to 402,005.40, 603,008.10 and 380,232.60 is: 570,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,005.40 : 603,008.10 = 380,232.60 : x
  2. Step 2: Convert to fraction form
    402,005.40/603,008.10 = 380,232.60/x
  3. Step 3: Cross multiply
    402,005.40x = 603,008.10 × 380,232.60
  4. Step 4: Simplify right side
    402,005.40x = 229,283,337,684.06
  5. Step 5: Solve for x
    x = 229,283,337,684.06/402,005.40
  6. Step 6: Final answer
    x = 570,348.90

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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.