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Finding the Fourth Proportional to 411,509.64, 567,899.46 and 241,742.28

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Solution

The fourth proportional to 411,509.64, 567,899.46 and 241,742.28 is: 333,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,509.64 : 567,899.46 = 241,742.28 : x
  2. Step 2: Convert to fraction form
    411,509.64/567,899.46 = 241,742.28/x
  3. Step 3: Cross multiply
    411,509.64x = 567,899.46 × 241,742.28
  4. Step 4: Simplify right side
    411,509.64x = 137,285,310,271.17
  5. Step 5: Solve for x
    x = 137,285,310,271.17/411,509.64
  6. Step 6: Final answer
    x = 333,613.84

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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.