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Finding the Fourth Proportional to 301,097.80, 451,646.70 and 182,805.40

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Solution

The fourth proportional to 301,097.80, 451,646.70 and 182,805.40 is: 274,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097.80 : 451,646.70 = 182,805.40 : x
  2. Step 2: Convert to fraction form
    301,097.80/451,646.70 = 182,805.40/x
  3. Step 3: Cross multiply
    301,097.80x = 451,646.70 × 182,805.40
  4. Step 4: Simplify right side
    301,097.80x = 82,563,455,652.18
  5. Step 5: Solve for x
    x = 82,563,455,652.18/301,097.80
  6. Step 6: Final answer
    x = 274,208.10

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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.