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Finding the Fourth Proportional to 456,773.09, 685,205.39 and 157,214.03

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Solution

The fourth proportional to 456,773.09, 685,205.39 and 157,214.03 is: 235,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,773.09 : 685,205.39 = 157,214.03 : x
  2. Step 2: Convert to fraction form
    456,773.09/685,205.39 = 157,214.03/x
  3. Step 3: Cross multiply
    456,773.09x = 685,205.39 × 157,214.03
  4. Step 4: Simplify right side
    456,773.09x = 107,723,897,706.63
  5. Step 5: Solve for x
    x = 107,723,897,706.63/456,773.09
  6. Step 6: Final answer
    x = 235,836.79

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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.