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Finding the Fourth Proportional to 264,957.57, 365,735.34 and 157,527.09

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Solution

The fourth proportional to 264,957.57, 365,735.34 and 157,527.09 is: 217,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,957.57 : 365,735.34 = 157,527.09 : x
  2. Step 2: Convert to fraction form
    264,957.57/365,735.34 = 157,527.09/x
  3. Step 3: Cross multiply
    264,957.57x = 365,735.34 × 157,527.09
  4. Step 4: Simplify right side
    264,957.57x = 57,613,223,820.36
  5. Step 5: Solve for x
    x = 57,613,223,820.36/264,957.57
  6. Step 6: Final answer
    x = 217,443.21

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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.