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Finding the Fourth Proportional to 456,175.20, 683,485.20 and 389,301.60

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Solution

The fourth proportional to 456,175.20, 683,485.20 and 389,301.60 is: 583,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,175.20 : 683,485.20 = 389,301.60 : x
  2. Step 2: Convert to fraction form
    456,175.20/683,485.20 = 389,301.60/x
  3. Step 3: Cross multiply
    456,175.20x = 683,485.20 × 389,301.60
  4. Step 4: Simplify right side
    456,175.20x = 266,081,881,936.32
  5. Step 5: Solve for x
    x = 266,081,881,936.32/456,175.20
  6. Step 6: Final answer
    x = 583,288.79

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Why These Related Problems?

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