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Finding the Fourth Proportional to 295,624.49, 407,961.67 and 159,658.46

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Solution

The fourth proportional to 295,624.49, 407,961.67 and 159,658.46 is: 220,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,624.49 : 407,961.67 = 159,658.46 : x
  2. Step 2: Convert to fraction form
    295,624.49/407,961.67 = 159,658.46/x
  3. Step 3: Cross multiply
    295,624.49x = 407,961.67 × 159,658.46
  4. Step 4: Simplify right side
    295,624.49x = 65,134,531,971.23
  5. Step 5: Solve for x
    x = 65,134,531,971.23/295,624.49
  6. Step 6: Final answer
    x = 220,328.61

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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.