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Finding the Fourth Proportional to 471,506.03, 707,252.12 and 116,520.04

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Solution

The fourth proportional to 471,506.03, 707,252.12 and 116,520.04 is: 174,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,506.03 : 707,252.12 = 116,520.04 : x
  2. Step 2: Convert to fraction form
    471,506.03/707,252.12 = 116,520.04/x
  3. Step 3: Cross multiply
    471,506.03x = 707,252.12 × 116,520.04
  4. Step 4: Simplify right side
    471,506.03x = 82,409,045,312.48
  5. Step 5: Solve for x
    x = 82,409,045,312.48/471,506.03
  6. Step 6: Final answer
    x = 174,778.35

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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.