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Finding the Fourth Proportional to 416,081.55, 574,186.95 and 232,322.97

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Solution

The fourth proportional to 416,081.55, 574,186.95 and 232,322.97 is: 320,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,081.55 : 574,186.95 = 232,322.97 : x
  2. Step 2: Convert to fraction form
    416,081.55/574,186.95 = 232,322.97/x
  3. Step 3: Cross multiply
    416,081.55x = 574,186.95 × 232,322.97
  4. Step 4: Simplify right side
    416,081.55x = 133,396,817,559.24
  5. Step 5: Solve for x
    x = 133,396,817,559.24/416,081.55
  6. Step 6: Final answer
    x = 320,602.58

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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.