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Finding the Fourth Proportional to 313,901.84, 433,175.64 and 170,658.56

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Solution

The fourth proportional to 313,901.84, 433,175.64 and 170,658.56 is: 235,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,901.84 : 433,175.64 = 170,658.56 : x
  2. Step 2: Convert to fraction form
    313,901.84/433,175.64 = 170,658.56/x
  3. Step 3: Cross multiply
    313,901.84x = 433,175.64 × 170,658.56
  4. Step 4: Simplify right side
    313,901.84x = 73,925,130,949.48
  5. Step 5: Solve for x
    x = 73,925,130,949.48/313,901.84
  6. Step 6: Final answer
    x = 235,503.97

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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.