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Finding the Fourth Proportional to 301,167.60, 415,624.32 and 180,285.50

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Solution

The fourth proportional to 301,167.60, 415,624.32 and 180,285.50 is: 248,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,167.60 : 415,624.32 = 180,285.50 : x
  2. Step 2: Convert to fraction form
    301,167.60/415,624.32 = 180,285.50/x
  3. Step 3: Cross multiply
    301,167.60x = 415,624.32 × 180,285.50
  4. Step 4: Simplify right side
    301,167.60x = 74,931,036,265.24
  5. Step 5: Solve for x
    x = 74,931,036,265.24/301,167.60
  6. Step 6: Final answer
    x = 248,801.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.