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Finding the Fourth Proportional to 505,110.12, 697,068.24 and 287,313.16

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Solution

The fourth proportional to 505,110.12, 697,068.24 and 287,313.16 is: 396,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,110.12 : 697,068.24 = 287,313.16 : x
  2. Step 2: Convert to fraction form
    505,110.12/697,068.24 = 287,313.16/x
  3. Step 3: Cross multiply
    505,110.12x = 697,068.24 × 287,313.16
  4. Step 4: Simplify right side
    505,110.12x = 200,276,878,770.04
  5. Step 5: Solve for x
    x = 200,276,878,770.04/505,110.12
  6. Step 6: Final answer
    x = 396,501.42

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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.