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Finding the Fourth Proportional to 409,898.60, 565,563.75 and 248,750

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Solution

The fourth proportional to 409,898.60, 565,563.75 and 248,750 is: 343,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898.60 : 565,563.75 = 248,750 : x
  2. Step 2: Convert to fraction form
    409,898.60/565,563.75 = 248,750/x
  3. Step 3: Cross multiply
    409,898.60x = 565,563.75 × 248,750
  4. Step 4: Simplify right side
    409,898.60x = 140,683,982,812.50
  5. Step 5: Solve for x
    x = 140,683,982,812.50/409,898.60
  6. Step 6: Final answer
    x = 343,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.