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Finding the Fourth Proportional to 285,420.32, 428,396.16 and 145,283.84

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Solution

The fourth proportional to 285,420.32, 428,396.16 and 145,283.84 is: 218,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,420.32 : 428,396.16 = 145,283.84 : x
  2. Step 2: Convert to fraction form
    285,420.32/428,396.16 = 145,283.84/x
  3. Step 3: Cross multiply
    285,420.32x = 428,396.16 × 145,283.84
  4. Step 4: Simplify right side
    285,420.32x = 62,239,039,166.05
  5. Step 5: Solve for x
    x = 62,239,039,166.05/285,420.32
  6. Step 6: Final answer
    x = 218,061.00

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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.