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Finding the Fourth Proportional to 416,157, 574,235.04 and 252,728.49

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Solution

The fourth proportional to 416,157, 574,235.04 and 252,728.49 is: 348,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,157 : 574,235.04 = 252,728.49 : x
  2. Step 2: Convert to fraction form
    416,157/574,235.04 = 252,728.49/x
  3. Step 3: Cross multiply
    416,157x = 574,235.04 × 252,728.49
  4. Step 4: Simplify right side
    416,157x = 145,125,554,564.29
  5. Step 5: Solve for x
    x = 145,125,554,564.29/416,157
  6. Step 6: Final answer
    x = 348,727.89

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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.