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Finding the Fourth Proportional to 313,114.40, 469,286.70 and 144,400.52

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Solution

The fourth proportional to 313,114.40, 469,286.70 and 144,400.52 is: 216,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,114.40 : 469,286.70 = 144,400.52 : x
  2. Step 2: Convert to fraction form
    313,114.40/469,286.70 = 144,400.52/x
  3. Step 3: Cross multiply
    313,114.40x = 469,286.70 × 144,400.52
  4. Step 4: Simplify right side
    313,114.40x = 67,765,243,509.08
  5. Step 5: Solve for x
    x = 67,765,243,509.08/313,114.40
  6. Step 6: Final answer
    x = 216,423.27

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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.