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Finding the Fourth Proportional to 313,858.40, 470,639.20 and 114,039.52

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Solution

The fourth proportional to 313,858.40, 470,639.20 and 114,039.52 is: 171,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,858.40 : 470,639.20 = 114,039.52 : x
  2. Step 2: Convert to fraction form
    313,858.40/470,639.20 = 114,039.52/x
  3. Step 3: Cross multiply
    313,858.40x = 470,639.20 × 114,039.52
  4. Step 4: Simplify right side
    313,858.40x = 53,671,468,461.18
  5. Step 5: Solve for x
    x = 53,671,468,461.18/313,858.40
  6. Step 6: Final answer
    x = 171,005.36

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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.