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Finding the Fourth Proportional to 471,675.36, 707,623.74 and 156,132.25

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Solution

The fourth proportional to 471,675.36, 707,623.74 and 156,132.25 is: 234,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,675.36 : 707,623.74 = 156,132.25 : x
  2. Step 2: Convert to fraction form
    471,675.36/707,623.74 = 156,132.25/x
  3. Step 3: Cross multiply
    471,675.36x = 707,623.74 × 156,132.25
  4. Step 4: Simplify right side
    471,675.36x = 110,482,886,679.62
  5. Step 5: Solve for x
    x = 110,482,886,679.62/471,675.36
  6. Step 6: Final answer
    x = 234,235.02

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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.