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Finding the Fourth Proportional to 313,913.94, 433,218.95 and 170,670.90

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Solution

The fourth proportional to 313,913.94, 433,218.95 and 170,670.90 is: 235,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,913.94 : 433,218.95 = 170,670.90 : x
  2. Step 2: Convert to fraction form
    313,913.94/433,218.95 = 170,670.90/x
  3. Step 3: Cross multiply
    313,913.94x = 433,218.95 × 170,670.90
  4. Step 4: Simplify right side
    313,913.94x = 73,937,868,093.56
  5. Step 5: Solve for x
    x = 73,937,868,093.56/313,913.94
  6. Step 6: Final answer
    x = 235,535.47

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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.