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Finding the Fourth Proportional to 285,005.60, 427,292.40 and 144,864.80

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Solution

The fourth proportional to 285,005.60, 427,292.40 and 144,864.80 is: 217,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,005.60 : 427,292.40 = 144,864.80 : x
  2. Step 2: Convert to fraction form
    285,005.60/427,292.40 = 144,864.80/x
  3. Step 3: Cross multiply
    285,005.60x = 427,292.40 × 144,864.80
  4. Step 4: Simplify right side
    285,005.60x = 61,899,628,067.52
  5. Step 5: Solve for x
    x = 61,899,628,067.52/285,005.60
  6. Step 6: Final answer
    x = 217,187.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.