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Finding the Fourth Proportional to 393,411.05, 590,116.06 and 156,919.80

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Solution

The fourth proportional to 393,411.05, 590,116.06 and 156,919.80 is: 235,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,411.05 : 590,116.06 = 156,919.80 : x
  2. Step 2: Convert to fraction form
    393,411.05/590,116.06 = 156,919.80/x
  3. Step 3: Cross multiply
    393,411.05x = 590,116.06 × 156,919.80
  4. Step 4: Simplify right side
    393,411.05x = 92,600,894,111.99
  5. Step 5: Solve for x
    x = 92,600,894,111.99/393,411.05
  6. Step 6: Final answer
    x = 235,379.49

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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.