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Finding the Fourth Proportional to 313,256.10, 469,900.54 and 144,933.64

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Solution

The fourth proportional to 313,256.10, 469,900.54 and 144,933.64 is: 217,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,256.10 : 469,900.54 = 144,933.64 : x
  2. Step 2: Convert to fraction form
    313,256.10/469,900.54 = 144,933.64/x
  3. Step 3: Cross multiply
    313,256.10x = 469,900.54 × 144,933.64
  4. Step 4: Simplify right side
    313,256.10x = 68,104,395,700.17
  5. Step 5: Solve for x
    x = 68,104,395,700.17/313,256.10
  6. Step 6: Final answer
    x = 217,408.04

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1.5x scale

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.