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Finding the Fourth Proportional to 393,499.40, 590,492.10 and 156,817.40

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Solution

The fourth proportional to 393,499.40, 590,492.10 and 156,817.40 is: 235,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,499.40 : 590,492.10 = 156,817.40 : x
  2. Step 2: Convert to fraction form
    393,499.40/590,492.10 = 156,817.40/x
  3. Step 3: Cross multiply
    393,499.40x = 590,492.10 × 156,817.40
  4. Step 4: Simplify right side
    393,499.40x = 92,599,435,842.54
  5. Step 5: Solve for x
    x = 92,599,435,842.54/393,499.40
  6. Step 6: Final answer
    x = 235,322.94

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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.