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Finding the Fourth Proportional to 296,630.50, 409,346.82 and 160,661.06

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Solution

The fourth proportional to 296,630.50, 409,346.82 and 160,661.06 is: 221,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,630.50 : 409,346.82 = 160,661.06 : x
  2. Step 2: Convert to fraction form
    296,630.50/409,346.82 = 160,661.06/x
  3. Step 3: Cross multiply
    296,630.50x = 409,346.82 × 160,661.06
  4. Step 4: Simplify right side
    296,630.50x = 65,766,094,008.83
  5. Step 5: Solve for x
    x = 65,766,094,008.83/296,630.50
  6. Step 6: Final answer
    x = 221,710.49

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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.