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Finding the Fourth Proportional to 321,682.64, 482,527.42 and 97,045.02

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Solution

The fourth proportional to 321,682.64, 482,527.42 and 97,045.02 is: 145,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,682.64 : 482,527.42 = 97,045.02 : x
  2. Step 2: Convert to fraction form
    321,682.64/482,527.42 = 97,045.02/x
  3. Step 3: Cross multiply
    321,682.64x = 482,527.42 × 97,045.02
  4. Step 4: Simplify right side
    321,682.64x = 46,826,880,226.59
  5. Step 5: Solve for x
    x = 46,826,880,226.59/321,682.64
  6. Step 6: Final answer
    x = 145,568.57

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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.