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Finding the Fourth Proportional to 397,930.32, 596,960.28 and 117,475.92

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Solution

The fourth proportional to 397,930.32, 596,960.28 and 117,475.92 is: 176,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,930.32 : 596,960.28 = 117,475.92 : x
  2. Step 2: Convert to fraction form
    397,930.32/596,960.28 = 117,475.92/x
  3. Step 3: Cross multiply
    397,930.32x = 596,960.28 × 117,475.92
  4. Step 4: Simplify right side
    397,930.32x = 70,128,458,096.46
  5. Step 5: Solve for x
    x = 70,128,458,096.46/397,930.32
  6. Step 6: Final answer
    x = 176,233.01

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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.