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Finding the Fourth Proportional to 293,657.16, 405,150.48 and 164,576.76

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Solution

The fourth proportional to 293,657.16, 405,150.48 and 164,576.76 is: 227,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,657.16 : 405,150.48 = 164,576.76 : x
  2. Step 2: Convert to fraction form
    293,657.16/405,150.48 = 164,576.76/x
  3. Step 3: Cross multiply
    293,657.16x = 405,150.48 × 164,576.76
  4. Step 4: Simplify right side
    293,657.16x = 66,678,353,310.84
  5. Step 5: Solve for x
    x = 66,678,353,310.84/293,657.16
  6. Step 6: Final answer
    x = 227,061.90

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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.