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Finding the Fourth Proportional to 313,772.16, 433,008.42 and 170,532.54

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Solution

The fourth proportional to 313,772.16, 433,008.42 and 170,532.54 is: 235,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,772.16 : 433,008.42 = 170,532.54 : x
  2. Step 2: Convert to fraction form
    313,772.16/433,008.42 = 170,532.54/x
  3. Step 3: Cross multiply
    313,772.16x = 433,008.42 × 170,532.54
  4. Step 4: Simplify right side
    313,772.16x = 73,842,025,703.99
  5. Step 5: Solve for x
    x = 73,842,025,703.99/313,772.16
  6. Step 6: Final answer
    x = 235,336.45

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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.