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Finding the Fourth Proportional to 419,812.83, 629,812.80 and 153,567.45

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Solution

The fourth proportional to 419,812.83, 629,812.80 and 153,567.45 is: 230,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,812.83 : 629,812.80 = 153,567.45 : x
  2. Step 2: Convert to fraction form
    419,812.83/629,812.80 = 153,567.45/x
  3. Step 3: Cross multiply
    419,812.83x = 629,812.80 × 153,567.45
  4. Step 4: Simplify right side
    419,812.83x = 96,718,745,673.36
  5. Step 5: Solve for x
    x = 96,718,745,673.36/419,812.83
  6. Step 6: Final answer
    x = 230,385.40

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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.