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Finding the Fourth Proportional to 419,795.64, 629,526.42 and 153,495.48

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Solution

The fourth proportional to 419,795.64, 629,526.42 and 153,495.48 is: 230,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,795.64 : 629,526.42 = 153,495.48 : x
  2. Step 2: Convert to fraction form
    419,795.64/629,526.42 = 153,495.48/x
  3. Step 3: Cross multiply
    419,795.64x = 629,526.42 × 153,495.48
  4. Step 4: Simplify right side
    419,795.64x = 96,629,460,010.58
  5. Step 5: Solve for x
    x = 96,629,460,010.58/419,795.64
  6. Step 6: Final answer
    x = 230,182.14

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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.