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Finding the Fourth Proportional to 415,409.32, 573,268.53 and 234,086.50

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Solution

The fourth proportional to 415,409.32, 573,268.53 and 234,086.50 is: 323,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,409.32 : 573,268.53 = 234,086.50 : x
  2. Step 2: Convert to fraction form
    415,409.32/573,268.53 = 234,086.50/x
  3. Step 3: Cross multiply
    415,409.32x = 573,268.53 × 234,086.50
  4. Step 4: Simplify right side
    415,409.32x = 134,194,423,747.85
  5. Step 5: Solve for x
    x = 134,194,423,747.85/415,409.32
  6. Step 6: Final answer
    x = 323,041.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.