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Finding the Fourth Proportional to 313,875.40, 470,664.70 and 114,056.52

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Solution

The fourth proportional to 313,875.40, 470,664.70 and 114,056.52 is: 171,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,875.40 : 470,664.70 = 114,056.52 : x
  2. Step 2: Convert to fraction form
    313,875.40/470,664.70 = 114,056.52/x
  3. Step 3: Cross multiply
    313,875.40x = 470,664.70 × 114,056.52
  4. Step 4: Simplify right side
    313,875.40x = 53,682,377,768.84
  5. Step 5: Solve for x
    x = 53,682,377,768.84/313,875.40
  6. Step 6: Final answer
    x = 171,030.85

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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.