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Finding the Fourth Proportional to 313,846.74, 433,111.32 and 170,607.06

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Solution

The fourth proportional to 313,846.74, 433,111.32 and 170,607.06 is: 235,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846.74 : 433,111.32 = 170,607.06 : x
  2. Step 2: Convert to fraction form
    313,846.74/433,111.32 = 170,607.06/x
  3. Step 3: Cross multiply
    313,846.74x = 433,111.32 × 170,607.06
  4. Step 4: Simplify right side
    313,846.74x = 73,891,848,957.92
  5. Step 5: Solve for x
    x = 73,891,848,957.92/313,846.74
  6. Step 6: Final answer
    x = 235,439.28

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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.