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Finding the Fourth Proportional to 348,952.10, 523,625.81 and 149,254.70

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Solution

The fourth proportional to 348,952.10, 523,625.81 and 149,254.70 is: 223,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,952.10 : 523,625.81 = 149,254.70 : x
  2. Step 2: Convert to fraction form
    348,952.10/523,625.81 = 149,254.70/x
  3. Step 3: Cross multiply
    348,952.10x = 523,625.81 × 149,254.70
  4. Step 4: Simplify right side
    348,952.10x = 78,153,609,819.40
  5. Step 5: Solve for x
    x = 78,153,609,819.40/348,952.10
  6. Step 6: Final answer
    x = 223,966.59

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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.