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Finding the Fourth Proportional to 469,858, 648,942.24 and 309,430.12

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Solution

The fourth proportional to 469,858, 648,942.24 and 309,430.12 is: 427,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,858 : 648,942.24 = 309,430.12 : x
  2. Step 2: Convert to fraction form
    469,858/648,942.24 = 309,430.12/x
  3. Step 3: Cross multiply
    469,858x = 648,942.24 × 309,430.12
  4. Step 4: Simplify right side
    469,858x = 200,802,275,196.27
  5. Step 5: Solve for x
    x = 200,802,275,196.27/469,858
  6. Step 6: Final answer
    x = 427,368.00

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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.