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Finding the Fourth Proportional to 433,010.60, 649,590.44 and 148,687.64

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Solution

The fourth proportional to 433,010.60, 649,590.44 and 148,687.64 is: 223,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,010.60 : 649,590.44 = 148,687.64 : x
  2. Step 2: Convert to fraction form
    433,010.60/649,590.44 = 148,687.64/x
  3. Step 3: Cross multiply
    433,010.60x = 649,590.44 × 148,687.64
  4. Step 4: Simplify right side
    433,010.60x = 96,586,069,490.16
  5. Step 5: Solve for x
    x = 96,586,069,490.16/433,010.60
  6. Step 6: Final answer
    x = 223,057.06

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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.