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Finding the Fourth Proportional to 469,635.46, 648,557.29 and 324,812.32

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Solution

The fourth proportional to 469,635.46, 648,557.29 and 324,812.32 is: 448,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,635.46 : 648,557.29 = 324,812.32 : x
  2. Step 2: Convert to fraction form
    469,635.46/648,557.29 = 324,812.32/x
  3. Step 3: Cross multiply
    469,635.46x = 648,557.29 × 324,812.32
  4. Step 4: Simplify right side
    469,635.46x = 210,659,398,017.81
  5. Step 5: Solve for x
    x = 210,659,398,017.81/469,635.46
  6. Step 6: Final answer
    x = 448,559.40

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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.