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Finding the Fourth Proportional to 463,032.32, 694,371.84 and 163,457.12

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Solution

The fourth proportional to 463,032.32, 694,371.84 and 163,457.12 is: 245,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,032.32 : 694,371.84 = 163,457.12 : x
  2. Step 2: Convert to fraction form
    463,032.32/694,371.84 = 163,457.12/x
  3. Step 3: Cross multiply
    463,032.32x = 694,371.84 × 163,457.12
  4. Step 4: Simplify right side
    463,032.32x = 113,500,021,175.50
  5. Step 5: Solve for x
    x = 113,500,021,175.50/463,032.32
  6. Step 6: Final answer
    x = 245,123.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.