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Finding the Fourth Proportional to 305,416.75, 455,645.23 and 288,883.03

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Solution

The fourth proportional to 305,416.75, 455,645.23 and 288,883.03 is: 430,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416.75 : 455,645.23 = 288,883.03 : x
  2. Step 2: Convert to fraction form
    305,416.75/455,645.23 = 288,883.03/x
  3. Step 3: Cross multiply
    305,416.75x = 455,645.23 × 288,883.03
  4. Step 4: Simplify right side
    305,416.75x = 131,628,173,203.03
  5. Step 5: Solve for x
    x = 131,628,173,203.03/305,416.75
  6. Step 6: Final answer
    x = 430,978.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.