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Finding the Fourth Proportional to 306,647.19, 460,064.97 and 156,992.55

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Solution

The fourth proportional to 306,647.19, 460,064.97 and 156,992.55 is: 235,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,647.19 : 460,064.97 = 156,992.55 : x
  2. Step 2: Convert to fraction form
    306,647.19/460,064.97 = 156,992.55/x
  3. Step 3: Cross multiply
    306,647.19x = 460,064.97 × 156,992.55
  4. Step 4: Simplify right side
    306,647.19x = 72,226,772,805.97
  5. Step 5: Solve for x
    x = 72,226,772,805.97/306,647.19
  6. Step 6: Final answer
    x = 235,537.04

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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.