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Finding the Fourth Proportional to 402,003.10, 603,465.45 and 235,884.70

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Solution

The fourth proportional to 402,003.10, 603,465.45 and 235,884.70 is: 354,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,003.10 : 603,465.45 = 235,884.70 : x
  2. Step 2: Convert to fraction form
    402,003.10/603,465.45 = 235,884.70/x
  3. Step 3: Cross multiply
    402,003.10x = 603,465.45 × 235,884.70
  4. Step 4: Simplify right side
    402,003.10x = 142,348,266,633.62
  5. Step 5: Solve for x
    x = 142,348,266,633.62/402,003.10
  6. Step 6: Final answer
    x = 354,097.44

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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.