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Finding the Fourth Proportional to 397,359.40, 596,039.20 and 116,876.64

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Solution

The fourth proportional to 397,359.40, 596,039.20 and 116,876.64 is: 175,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,359.40 : 596,039.20 = 116,876.64 : x
  2. Step 2: Convert to fraction form
    397,359.40/596,039.20 = 116,876.64/x
  3. Step 3: Cross multiply
    397,359.40x = 596,039.20 × 116,876.64
  4. Step 4: Simplify right side
    397,359.40x = 69,663,059,004.29
  5. Step 5: Solve for x
    x = 69,663,059,004.29/397,359.40
  6. Step 6: Final answer
    x = 175,314.99

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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.