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Finding the Fourth Proportional to 313,901.59, 433,175.30 and 170,658.31

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Solution

The fourth proportional to 313,901.59, 433,175.30 and 170,658.31 is: 235,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,901.59 : 433,175.30 = 170,658.31 : x
  2. Step 2: Convert to fraction form
    313,901.59/433,175.30 = 170,658.31/x
  3. Step 3: Cross multiply
    313,901.59x = 433,175.30 × 170,658.31
  4. Step 4: Simplify right side
    313,901.59x = 73,924,963,778.45
  5. Step 5: Solve for x
    x = 73,924,963,778.45/313,901.59
  6. Step 6: Final answer
    x = 235,503.63

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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.