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Finding the Fourth Proportional to 430,241.60, 645,362 and 130,720.96

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Solution

The fourth proportional to 430,241.60, 645,362 and 130,720.96 is: 196,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,241.60 : 645,362 = 130,720.96 : x
  2. Step 2: Convert to fraction form
    430,241.60/645,362 = 130,720.96/x
  3. Step 3: Cross multiply
    430,241.60x = 645,362 × 130,720.96
  4. Step 4: Simplify right side
    430,241.60x = 84,362,340,187.52
  5. Step 5: Solve for x
    x = 84,362,340,187.52/430,241.60
  6. Step 6: Final answer
    x = 196,081.32

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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.