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Finding the Fourth Proportional to 313,193.70, 432,208.47 and 169,953.77

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Solution

The fourth proportional to 313,193.70, 432,208.47 and 169,953.77 is: 234,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,193.70 : 432,208.47 = 169,953.77 : x
  2. Step 2: Convert to fraction form
    313,193.70/432,208.47 = 169,953.77/x
  3. Step 3: Cross multiply
    313,193.70x = 432,208.47 × 169,953.77
  4. Step 4: Simplify right side
    313,193.70x = 73,455,458,902.43
  5. Step 5: Solve for x
    x = 73,455,458,902.43/313,193.70
  6. Step 6: Final answer
    x = 234,536.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.