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Finding the Fourth Proportional to 306,792.82, 460,035.23 and 178,750.55

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Solution

The fourth proportional to 306,792.82, 460,035.23 and 178,750.55 is: 268,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,792.82 : 460,035.23 = 178,750.55 : x
  2. Step 2: Convert to fraction form
    306,792.82/460,035.23 = 178,750.55/x
  3. Step 3: Cross multiply
    306,792.82x = 460,035.23 × 178,750.55
  4. Step 4: Simplify right side
    306,792.82x = 82,231,550,638.21
  5. Step 5: Solve for x
    x = 82,231,550,638.21/306,792.82
  6. Step 6: Final answer
    x = 268,036.10

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Why These Related Problems?

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