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Finding the Fourth Proportional to 488,364.60, 732,546.90 and 278,412.60

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Solution

The fourth proportional to 488,364.60, 732,546.90 and 278,412.60 is: 417,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,364.60 : 732,546.90 = 278,412.60 : x
  2. Step 2: Convert to fraction form
    488,364.60/732,546.90 = 278,412.60/x
  3. Step 3: Cross multiply
    488,364.60x = 732,546.90 × 278,412.60
  4. Step 4: Simplify right side
    488,364.60x = 203,950,287,050.94
  5. Step 5: Solve for x
    x = 203,950,287,050.94/488,364.60
  6. Step 6: Final answer
    x = 417,618.90

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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.