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Finding the Fourth Proportional to 559,741.47, 839,695.64 and 180,537.54

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Solution

The fourth proportional to 559,741.47, 839,695.64 and 180,537.54 is: 270,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,741.47 : 839,695.64 = 180,537.54 : x
  2. Step 2: Convert to fraction form
    559,741.47/839,695.64 = 180,537.54/x
  3. Step 3: Cross multiply
    559,741.47x = 839,695.64 × 180,537.54
  4. Step 4: Simplify right side
    559,741.47x = 151,596,585,194.33
  5. Step 5: Solve for x
    x = 151,596,585,194.33/559,741.47
  6. Step 6: Final answer
    x = 270,833.22

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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.