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Finding the Fourth Proportional to 485,417.80, 727,997.10 and 148,457.80

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Solution

The fourth proportional to 485,417.80, 727,997.10 and 148,457.80 is: 222,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,417.80 : 727,997.10 = 148,457.80 : x
  2. Step 2: Convert to fraction form
    485,417.80/727,997.10 = 148,457.80/x
  3. Step 3: Cross multiply
    485,417.80x = 727,997.10 × 148,457.80
  4. Step 4: Simplify right side
    485,417.80x = 108,076,847,872.38
  5. Step 5: Solve for x
    x = 108,076,847,872.38/485,417.80
  6. Step 6: Final answer
    x = 222,647.06

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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.