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Finding the Fourth Proportional to 304,189.67, 456,348.77 and 114,646.02

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Solution

The fourth proportional to 304,189.67, 456,348.77 and 114,646.02 is: 171,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,189.67 : 456,348.77 = 114,646.02 : x
  2. Step 2: Convert to fraction form
    304,189.67/456,348.77 = 114,646.02/x
  3. Step 3: Cross multiply
    304,189.67x = 456,348.77 × 114,646.02
  4. Step 4: Simplify right side
    304,189.67x = 52,318,569,639.17
  5. Step 5: Solve for x
    x = 52,318,569,639.17/304,189.67
  6. Step 6: Final answer
    x = 171,993.25

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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.