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Finding the Fourth Proportional to 397,885.92, 596,828.52 and 117,381.12

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Solution

The fourth proportional to 397,885.92, 596,828.52 and 117,381.12 is: 176,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,885.92 : 596,828.52 = 117,381.12 : x
  2. Step 2: Convert to fraction form
    397,885.92/596,828.52 = 117,381.12/x
  3. Step 3: Cross multiply
    397,885.92x = 596,828.52 × 117,381.12
  4. Step 4: Simplify right side
    397,885.92x = 70,056,400,125.54
  5. Step 5: Solve for x
    x = 70,056,400,125.54/397,885.92
  6. Step 6: Final answer
    x = 176,071.57

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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.