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Finding the Fourth Proportional to 285,422.32, 428,399.16 and 145,285.84

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Solution

The fourth proportional to 285,422.32, 428,399.16 and 145,285.84 is: 218,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422.32 : 428,399.16 = 145,285.84 : x
  2. Step 2: Convert to fraction form
    285,422.32/428,399.16 = 145,285.84/x
  3. Step 3: Cross multiply
    285,422.32x = 428,399.16 × 145,285.84
  4. Step 4: Simplify right side
    285,422.32x = 62,240,331,815.89
  5. Step 5: Solve for x
    x = 62,240,331,815.89/285,422.32
  6. Step 6: Final answer
    x = 218,064.00

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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.