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Finding the Fourth Proportional to 541,970.46, 813,459.87 and 275,929.98

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Solution

The fourth proportional to 541,970.46, 813,459.87 and 275,929.98 is: 414,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,970.46 : 813,459.87 = 275,929.98 : x
  2. Step 2: Convert to fraction form
    541,970.46/813,459.87 = 275,929.98/x
  3. Step 3: Cross multiply
    541,970.46x = 813,459.87 × 275,929.98
  4. Step 4: Simplify right side
    541,970.46x = 224,457,965,659.90
  5. Step 5: Solve for x
    x = 224,457,965,659.90/541,970.46
  6. Step 6: Final answer
    x = 414,151.66

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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.