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Finding the Fourth Proportional to 471,465.72, 650,622.64 and 256,607.32

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Solution

The fourth proportional to 471,465.72, 650,622.64 and 256,607.32 is: 354,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,465.72 : 650,622.64 = 256,607.32 : x
  2. Step 2: Convert to fraction form
    471,465.72/650,622.64 = 256,607.32/x
  3. Step 3: Cross multiply
    471,465.72x = 650,622.64 × 256,607.32
  4. Step 4: Simplify right side
    471,465.72x = 166,954,531,981.73
  5. Step 5: Solve for x
    x = 166,954,531,981.73/471,465.72
  6. Step 6: Final answer
    x = 354,118.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.