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Finding the Fourth Proportional to 427,412.48, 641,320.32 and 190,734.08

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Solution

The fourth proportional to 427,412.48, 641,320.32 and 190,734.08 is: 286,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,412.48 : 641,320.32 = 190,734.08 : x
  2. Step 2: Convert to fraction form
    427,412.48/641,320.32 = 190,734.08/x
  3. Step 3: Cross multiply
    427,412.48x = 641,320.32 × 190,734.08
  4. Step 4: Simplify right side
    427,412.48x = 122,321,641,220.51
  5. Step 5: Solve for x
    x = 122,321,641,220.51/427,412.48
  6. Step 6: Final answer
    x = 286,191.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.