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Finding the Fourth Proportional to 460,751.84, 691,162.80 and 157,051.68

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Solution

The fourth proportional to 460,751.84, 691,162.80 and 157,051.68 is: 235,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,751.84 : 691,162.80 = 157,051.68 : x
  2. Step 2: Convert to fraction form
    460,751.84/691,162.80 = 157,051.68/x
  3. Step 3: Cross multiply
    460,751.84x = 691,162.80 × 157,051.68
  4. Step 4: Simplify right side
    460,751.84x = 108,548,278,893.50
  5. Step 5: Solve for x
    x = 108,548,278,893.50/460,751.84
  6. Step 6: Final answer
    x = 235,589.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.