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Finding the Fourth Proportional to 613,142.64, 846,153 and 341,228.88

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Solution

The fourth proportional to 613,142.64, 846,153 and 341,228.88 is: 470,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,142.64 : 846,153 = 341,228.88 : x
  2. Step 2: Convert to fraction form
    613,142.64/846,153 = 341,228.88/x
  3. Step 3: Cross multiply
    613,142.64x = 846,153 × 341,228.88
  4. Step 4: Simplify right side
    613,142.64x = 288,731,840,498.64
  5. Step 5: Solve for x
    x = 288,731,840,498.64/613,142.64
  6. Step 6: Final answer
    x = 470,904.85

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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.