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Finding the Fourth Proportional to 559,648.22, 839,318.32 and 154,743.38

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Solution

The fourth proportional to 559,648.22, 839,318.32 and 154,743.38 is: 232,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,648.22 : 839,318.32 = 154,743.38 : x
  2. Step 2: Convert to fraction form
    559,648.22/839,318.32 = 154,743.38/x
  3. Step 3: Cross multiply
    559,648.22x = 839,318.32 × 154,743.38
  4. Step 4: Simplify right side
    559,648.22x = 129,878,953,732.72
  5. Step 5: Solve for x
    x = 129,878,953,732.72/559,648.22
  6. Step 6: Final answer
    x = 232,072.49

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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.