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Finding the Fourth Proportional to 410,204.19, 614,420.53 and 400,165.86

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Solution

The fourth proportional to 410,204.19, 614,420.53 and 400,165.86 is: 599,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,204.19 : 614,420.53 = 400,165.86 : x
  2. Step 2: Convert to fraction form
    410,204.19/614,420.53 = 400,165.86/x
  3. Step 3: Cross multiply
    410,204.19x = 614,420.53 × 400,165.86
  4. Step 4: Simplify right side
    410,204.19x = 245,870,119,789.11
  5. Step 5: Solve for x
    x = 245,870,119,789.11/410,204.19
  6. Step 6: Final answer
    x = 599,384.71

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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.