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Finding the Fourth Proportional to 415,838.21, 573,832.93 and 234,539.32

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Solution

The fourth proportional to 415,838.21, 573,832.93 and 234,539.32 is: 323,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,838.21 : 573,832.93 = 234,539.32 : x
  2. Step 2: Convert to fraction form
    415,838.21/573,832.93 = 234,539.32/x
  3. Step 3: Cross multiply
    415,838.21x = 573,832.93 × 234,539.32
  4. Step 4: Simplify right side
    415,838.21x = 134,586,385,195.81
  5. Step 5: Solve for x
    x = 134,586,385,195.81/415,838.21
  6. Step 6: Final answer
    x = 323,650.84

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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.