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Finding the Fourth Proportional to 305,417.25, 455,645.97 and 288,883.53

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Solution

The fourth proportional to 305,417.25, 455,645.97 and 288,883.53 is: 430,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,417.25 : 455,645.97 = 288,883.53 : x
  2. Step 2: Convert to fraction form
    305,417.25/455,645.97 = 288,883.53/x
  3. Step 3: Cross multiply
    305,417.25x = 455,645.97 × 288,883.53
  4. Step 4: Simplify right side
    305,417.25x = 131,628,616,243.87
  5. Step 5: Solve for x
    x = 131,628,616,243.87/305,417.25
  6. Step 6: Final answer
    x = 430,979.64

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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.