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Finding the Fourth Proportional to 469,812.90, 648,343.50 and 254,952.90

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Solution

The fourth proportional to 469,812.90, 648,343.50 and 254,952.90 is: 351,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,812.90 : 648,343.50 = 254,952.90 : x
  2. Step 2: Convert to fraction form
    469,812.90/648,343.50 = 254,952.90/x
  3. Step 3: Cross multiply
    469,812.90x = 648,343.50 × 254,952.90
  4. Step 4: Simplify right side
    469,812.90x = 165,297,055,521.15
  5. Step 5: Solve for x
    x = 165,297,055,521.15/469,812.90
  6. Step 6: Final answer
    x = 351,835.92

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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.