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Finding the Fourth Proportional to 296,753.46, 409,539.88 and 167,647.16

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Solution

The fourth proportional to 296,753.46, 409,539.88 and 167,647.16 is: 231,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,753.46 : 409,539.88 = 167,647.16 : x
  2. Step 2: Convert to fraction form
    296,753.46/409,539.88 = 167,647.16/x
  3. Step 3: Cross multiply
    296,753.46x = 409,539.88 × 167,647.16
  4. Step 4: Simplify right side
    296,753.46x = 68,658,197,788.74
  5. Step 5: Solve for x
    x = 68,658,197,788.74/296,753.46
  6. Step 6: Final answer
    x = 231,364.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.