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Finding the Fourth Proportional to 285,417.32, 428,391.66 and 145,280.84

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Solution

The fourth proportional to 285,417.32, 428,391.66 and 145,280.84 is: 218,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,417.32 : 428,391.66 = 145,280.84 : x
  2. Step 2: Convert to fraction form
    285,417.32/428,391.66 = 145,280.84/x
  3. Step 3: Cross multiply
    285,417.32x = 428,391.66 × 145,280.84
  4. Step 4: Simplify right side
    285,417.32x = 62,237,100,213.79
  5. Step 5: Solve for x
    x = 62,237,100,213.79/285,417.32
  6. Step 6: Final answer
    x = 218,056.49

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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.