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Finding the Fourth Proportional to 397,892.32, 596,947.76 and 117,409.57

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Solution

The fourth proportional to 397,892.32, 596,947.76 and 117,409.57 is: 176,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,892.32 : 596,947.76 = 117,409.57 : x
  2. Step 2: Convert to fraction form
    397,892.32/596,947.76 = 117,409.57/x
  3. Step 3: Cross multiply
    397,892.32x = 596,947.76 × 117,409.57
  4. Step 4: Simplify right side
    397,892.32x = 70,087,379,814.06
  5. Step 5: Solve for x
    x = 70,087,379,814.06/397,892.32
  6. Step 6: Final answer
    x = 176,146.60

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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.