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Finding the Fourth Proportional to 471,354.12, 707,032.64 and 116,368.18

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Solution

The fourth proportional to 471,354.12, 707,032.64 and 116,368.18 is: 174,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,354.12 : 707,032.64 = 116,368.18 : x
  2. Step 2: Convert to fraction form
    471,354.12/707,032.64 = 116,368.18/x
  3. Step 3: Cross multiply
    471,354.12x = 707,032.64 × 116,368.18
  4. Step 4: Simplify right side
    471,354.12x = 82,276,101,517.40
  5. Step 5: Solve for x
    x = 82,276,101,517.40/471,354.12
  6. Step 6: Final answer
    x = 174,552.63

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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.