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Finding the Fourth Proportional to 304,322.49, 456,394.50 and 114,646

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Solution

The fourth proportional to 304,322.49, 456,394.50 and 114,646 is: 171,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,322.49 : 456,394.50 = 114,646 : x
  2. Step 2: Convert to fraction form
    304,322.49/456,394.50 = 114,646/x
  3. Step 3: Cross multiply
    304,322.49x = 456,394.50 × 114,646
  4. Step 4: Simplify right side
    304,322.49x = 52,323,803,847
  5. Step 5: Solve for x
    x = 52,323,803,847/304,322.49
  6. Step 6: Final answer
    x = 171,935.38

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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.