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Finding the Fourth Proportional to 407,357.56, 610,890.54 and 141,046.57

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Solution

The fourth proportional to 407,357.56, 610,890.54 and 141,046.57 is: 211,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,357.56 : 610,890.54 = 141,046.57 : x
  2. Step 2: Convert to fraction form
    407,357.56/610,890.54 = 141,046.57/x
  3. Step 3: Cross multiply
    407,357.56x = 610,890.54 × 141,046.57
  4. Step 4: Simplify right side
    407,357.56x = 86,164,015,312.45
  5. Step 5: Solve for x
    x = 86,164,015,312.45/407,357.56
  6. Step 6: Final answer
    x = 211,519.37

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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.