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Finding the Fourth Proportional to 565,478.61, 848,217.36 and 144,753.81

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Solution

The fourth proportional to 565,478.61, 848,217.36 and 144,753.81 is: 217,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,478.61 : 848,217.36 = 144,753.81 : x
  2. Step 2: Convert to fraction form
    565,478.61/848,217.36 = 144,753.81/x
  3. Step 3: Cross multiply
    565,478.61x = 848,217.36 × 144,753.81
  4. Step 4: Simplify right side
    565,478.61x = 122,782,694,568.14
  5. Step 5: Solve for x
    x = 122,782,694,568.14/565,478.61
  6. Step 6: Final answer
    x = 217,130.57

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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.