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Finding the Fourth Proportional to 397,938.32, 596,972.32 and 117,483.92

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Solution

The fourth proportional to 397,938.32, 596,972.32 and 117,483.92 is: 176,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,938.32 : 596,972.32 = 117,483.92 : x
  2. Step 2: Convert to fraction form
    397,938.32/596,972.32 = 117,483.92/x
  3. Step 3: Cross multiply
    397,938.32x = 596,972.32 × 117,483.92
  4. Step 4: Simplify right side
    397,938.32x = 70,134,648,285.09
  5. Step 5: Solve for x
    x = 70,134,648,285.09/397,938.32
  6. Step 6: Final answer
    x = 176,245.02

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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.