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Finding the Fourth Proportional to 332,186.96, 498,631.14 and 154,865

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Solution

The fourth proportional to 332,186.96, 498,631.14 and 154,865 is: 232,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,186.96 : 498,631.14 = 154,865 : x
  2. Step 2: Convert to fraction form
    332,186.96/498,631.14 = 154,865/x
  3. Step 3: Cross multiply
    332,186.96x = 498,631.14 × 154,865
  4. Step 4: Simplify right side
    332,186.96x = 77,220,511,496.10
  5. Step 5: Solve for x
    x = 77,220,511,496.10/332,186.96
  6. Step 6: Final answer
    x = 232,461.00

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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.