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Finding the Fourth Proportional to 304,330.50, 456,406.50 and 114,654

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Solution

The fourth proportional to 304,330.50, 456,406.50 and 114,654 is: 171,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,330.50 : 456,406.50 = 114,654 : x
  2. Step 2: Convert to fraction form
    304,330.50/456,406.50 = 114,654/x
  3. Step 3: Cross multiply
    304,330.50x = 456,406.50 × 114,654
  4. Step 4: Simplify right side
    304,330.50x = 52,328,830,851
  5. Step 5: Solve for x
    x = 52,328,830,851/304,330.50
  6. Step 6: Final answer
    x = 171,947.38

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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.