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Finding the Fourth Proportional to 541,856.70, 812,007.45 and 398,583.90

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Solution

The fourth proportional to 541,856.70, 812,007.45 and 398,583.90 is: 597,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,856.70 : 812,007.45 = 398,583.90 : x
  2. Step 2: Convert to fraction form
    541,856.70/812,007.45 = 398,583.90/x
  3. Step 3: Cross multiply
    541,856.70x = 812,007.45 × 398,583.90
  4. Step 4: Simplify right side
    541,856.70x = 323,653,096,250.06
  5. Step 5: Solve for x
    x = 323,653,096,250.06/541,856.70
  6. Step 6: Final answer
    x = 597,303.86

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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.