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Finding the Fourth Proportional to 304,324.50, 456,397.50 and 114,648

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Solution

The fourth proportional to 304,324.50, 456,397.50 and 114,648 is: 171,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,324.50 : 456,397.50 = 114,648 : x
  2. Step 2: Convert to fraction form
    304,324.50/456,397.50 = 114,648/x
  3. Step 3: Cross multiply
    304,324.50x = 456,397.50 × 114,648
  4. Step 4: Simplify right side
    304,324.50x = 52,325,060,580
  5. Step 5: Solve for x
    x = 52,325,060,580/304,324.50
  6. Step 6: Final answer
    x = 171,938.38

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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.