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Finding the Fourth Proportional to 503,256, 694,533.24 and 288,416.01

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Solution

The fourth proportional to 503,256, 694,533.24 and 288,416.01 is: 398,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,256 : 694,533.24 = 288,416.01 : x
  2. Step 2: Convert to fraction form
    503,256/694,533.24 = 288,416.01/x
  3. Step 3: Cross multiply
    503,256x = 694,533.24 × 288,416.01
  4. Step 4: Simplify right side
    503,256x = 200,314,505,893.17
  5. Step 5: Solve for x
    x = 200,314,505,893.17/503,256
  6. Step 6: Final answer
    x = 398,036.99

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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.